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3x-7(x-4)=8x+2(6-5x)
We move all terms to the left:
3x-7(x-4)-(8x+2(6-5x))=0
We add all the numbers together, and all the variables
3x-7(x-4)-(8x+2(-5x+6))=0
We multiply parentheses
3x-7x-(8x+2(-5x+6))+28=0
We calculate terms in parentheses: -(8x+2(-5x+6)), so:We add all the numbers together, and all the variables
8x+2(-5x+6)
We multiply parentheses
8x-10x+12
We add all the numbers together, and all the variables
-2x+12
Back to the equation:
-(-2x+12)
-4x-(-2x+12)+28=0
We get rid of parentheses
-4x+2x-12+28=0
We add all the numbers together, and all the variables
-2x+16=0
We move all terms containing x to the left, all other terms to the right
-2x=-16
x=-16/-2
x=+8
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