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5(x-3)+7(2-x)-4(2x+7)-3x+2=11(8x-7)+4x-(6-5x)+8x-2x
We move all terms to the left:
5(x-3)+7(2-x)-4(2x+7)-3x+2-(11(8x-7)+4x-(6-5x)+8x-2x)=0
We add all the numbers together, and all the variables
5(x-3)+7(-1x+2)-4(2x+7)-3x-(11(8x-7)+4x-(-5x+6)+8x-2x)+2=0
We add all the numbers together, and all the variables
-3x+5(x-3)+7(-1x+2)-4(2x+7)-(11(8x-7)+4x-(-5x+6)+8x-2x)+2=0
We multiply parentheses
-3x+5x-7x-8x-(11(8x-7)+4x-(-5x+6)+8x-2x)-15+14-28+2=0
We calculate terms in parentheses: -(11(8x-7)+4x-(-5x+6)+8x-2x), so:We add all the numbers together, and all the variables
11(8x-7)+4x-(-5x+6)+8x-2x
We add all the numbers together, and all the variables
10x+11(8x-7)-(-5x+6)
We multiply parentheses
10x+88x-(-5x+6)-77
We get rid of parentheses
10x+88x+5x-6-77
We add all the numbers together, and all the variables
103x-83
Back to the equation:
-(103x-83)
-13x-(103x-83)-27=0
We get rid of parentheses
-13x-103x+83-27=0
We add all the numbers together, and all the variables
-116x+56=0
We move all terms containing x to the left, all other terms to the right
-116x=-56
x=-56/-116
x=14/29
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