How to  solve this equation 6( x + 5) = 7[x - (3 - x)] ?
968241
Work from inside out.\n\nFirst, distribute the 6 to the x + 5.  There is no inside you can do here so you do the next thing.\n\n6x + 30\n\nOn the other side of the equation, you can't simplify (3 - x) so you do the next thing, which is to distribute the negative.  If it helps, think of it as adding a negative one, which you have to distribute (the -1) to what's in the parenthesis.\n\n(-3 + x)\n\nNow we can get rid of those parenthesis because this is basically what we have:\n[x + -3 + x]\n\nThis can be simplified by combining like terms.\n\n[2x - 3]\n\nNow we distribute the 7 over the entire thing.\n\n14x - 21\n\nNow your whole equation is:\n\n6x + 30 = 14x -21\n\nIsolate your x on one side of the equation ...\nby subtracting 6x from both sides:\n30 = 8x -21\n\nand adding 21 to both sides\n51 = 8x\n\nnow dividing by 8 on both sides\nand you get\nx = 6.375    or in fraction form    x = 51/8
869535
5x+8+3x-5=6x-3\n8x+3=6x-3 (combine like terms)\n2x=-6 (subtract 6x, subtract 3)\nx=-3 (divide by 2)
791165
ln (x-1) + ln (x-5) = ln(3x+7)\nln( (x-1)(x-5) ) = ln(3x+7)\nso\n(x-1)(x-5)  = (3x+7)\nx^2 - 6x + 5 = 3x + 7\nx^2 -9x -2 =0\nx= (9+- sqrt( 81 -4(-2)) )/2\nx = ( 9 +- sqrt(89) )/2\n`
880864
3(4x+6)+7\n\nexpand first (ie multiply what is in the bracket by what is out side the bracket)\n\n= (3 times 4x + 3 times 6) +7\n=12 x + 18 + 7\n\nthen collect like terms (i.e. similar powers of x)\n\n= 12x +25
492288
x=\n3x-3+2x=5x-6-x\n3x+2x-5x+x=-6+3\n1x=-3\nx=-3&#92;1\nx=-3
1106533
1) 6(x-4)(x-2)\n= 6(x^2 - 2x - 4x +8)\n= 6(x^2 - 6x + 8)\n= 6x^2 - 36x + 48\n\n2) (x+7)(x+4)-(x+3)(x+2)\n= (x^2 + 4x + 7x + 28) - (x^2 + 2x + 3x + 6)\n= (x^2 + 11x + 28) - (x^2 + 5x + 6)\n= x^2 + 11x + 28 - x^2 - 5x - 6\n= 6x + 22
762880
5 + 4 - 7 = 4x + 3 - x\n 9 - 7 = 3x + 3\n2 = 3x + 3\n2 - 3 = 3x + 3 - 3\n -1 = 3x\n-1/3 = 3x/3\n-1/3 = x
361234
(m-6)(m+7)=0\nm=6 or m=-7\n\n(n-1)(n-7)=0\nn=1 or n=7\n\n(x+1)(x+5)=0\nx=-1 or x=-5\n\n(x-2)(x-7)=0\nx=2 or x=7\n\nas easy as ABC!!!
1018019
6+(5-(4+(3-2)))=\n=6+(5-(4+1))=\n=6+(5-5)=\n=6+0=\n=6
966998
3(-5x - 7y =28)  Multiply the first equation by 3.\n  -5(-3x - 3y = 12) Multiply the second equation by -5.\n\nYour new equations are:\n-15x - 21y = 84\n15x +15y = -60\n\nAdd them together, and you get\n-6y = 24\n\nSolve for y\n-6y = 24\n---      ----\n-6       -6\ny= -4\n\nInput that value into any equation:\n-3x - 3y = 12\n-3x - 3(-4) = 12\n\nSolve for x:\n-3x + 12 = 12\n-3x = 0\n---     ---\n-3      -3\nx = 0\n\nAnswers: (0, -4) or x=0 y=-4
790277
ill give it a shot - im not sure , anyways i got 2 answers..\n\n(1st)\n\n(3-x)x+2 = 2 (x^2-2)\n\n3x-x^2+6-2x = 2x^2-4\n\nx-x^2+6 = 2x^2-4\n\nx-1/x+6 = 2/x-4\n\nx-1+6x = 2-4x\n\nx+4x+6x = 2+1\n\n11x = 3\n\nx = 3/11\n\n\n(2nd possible answer)\n\n\n(3-x)x+2 = 2 (x^2-2)\n\n3x-x^2+6-2x = 2x^2-4\n\nx-x^2+6 = 2x^2-4\n\nx-1/x+6 = 2/x-4\n\nx-1+6/x = 2-4/x\n\n-5 = -2/x\n\n-5x = -2\n\nx = -2+5\n\nx = 3
744241
3/(x + 6) - 1/(x - 2) = -8/(x^2 + 4x -12)\n\nStep 1: Create a common denominator for the left side. This is convenient, because (x + 6) * (x - 2)  = (x^2 + 4x - 12)\n3/(x + 6) * (x - 2) / (x - 2) - 1/(x - 2) * (x + 6) / (x + 6)\n3 (x - 2) / ((x + 6) * (x - 2)) - 1 (x + 6) / ((x + 6) * (x - 2))\n\nFinally:\n(3 (x - 2) - 1 (x + 6)) / (x^2 + 4x -12) = -8/(x^2 + 4x -12)\n\nStep 2: Cancel the x^2 + 4x -12 denominator on both sides, then solve.\n(3 (x - 2) - 1 (x + 6)) / (x^2 + 4x -12) = -8/(x^2 + 4x -12)\n3 (x - 2) - 1 (x + 6) = -8\n3x - 6 - x - 6 + 8 = 0\n2x - 4 = 0\n2x = 4\nx = 2 (solution!)
949707
What you want to do is progress till the x is the only thing on one side of the equation; so\n\nget the 7 on the other side by adding 7 to each side of the equation:\n3x-7+7=26+7; this comes out to \n3x=33\n\nstill with me?   you have to do the same thing to both sides of the equation to keep it equal, so since you had to add seven to get rid of minus seven, you also have to add seven to the other side.\n\nnow you have  3x=33 and you need to get rid of the 3 multiplier, so now you will divide each side of the equation by 3:\n3x /3=33/3, or\nx=11\n\nto check for accuracy, just plug your answer, 11, back into the original equation and make sure it works:\n3times11  -7= 26.    \n\nsee? it's not so hard when you take it step by step.  in a little while you'll be solving these in your head.\n\nblessings!\ncryllie
477010
Remember Order of Operations - in this case, Parenthesis, then Add/Subtract.\n\n1.) First, we do the parenthesis:\n3x-5(3x-7)=2(x+9)+45\n3x-(15x-35)=(2x+18)+45\n\n2.) Next, we add/subtract from the parenthesis:\n3x-(15x-35)=(2x+18)+45\n-12x + 35 = 2x + 63\n\n3.) Then, we solve by subtraction and division:\n-12x + 35 = 2x + 63\n-12x - 2x = 63 - 35\n-14x = 28\nx = -2\n\nCheck:\n3(-2) - 5(3(-2)-7) = 2(-2+9)+45\n-6 - 5(-6-7) = 2(7) + 45\n-6 + 65 = 14 + 45\n59 = 59
548165
x=5/3\nx(6-1)=2x-5\n6x-1x=2x-5\n5x=2x-5\n5x-2x=5\n3x=5\nx=5/3\nu dont need to be a geek to do that, u just need to take about a week of algerbra 1
96602
-6(8-x)=-51-15\n-6(8-x)=-66\n(8-x)=-66/-6\n8-x=11\n-x=11-8\n-x=3\nx=-3\n\n\nThe sooner you learn it the better\n\nEdit: For those of you trying to muliply first, you have to multiply through the entire equation not just x:\n-48+6x+15=-51\n-33+6x=-51\n6x=-18\nx=-3
974614
Simple. Get rid of the denominators on both sides by multiplying by the lowest common multiple (in this case, 8). So that would make the left side: 2(3x +7) and the right side: -x. Then just isolate and solve for x!