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(4x-5)+(x-7)-(2x-8)=(-3x+4)-(x-6)
We simplify the equation to the form, which is simple to understand
(4x-5)+(x-7)-(2x-8)=(-3x+4)-(x-6)
Remove unnecessary parentheses
4x-5+(x-7)-(2x-8)=(-3x+4)-(x-6)
Remove unnecessary parentheses
+4x-5+x-7-(+2x-8+)=+(-3x+4+)-(+x-6+)
Remove unnecessary parentheses
4x-5x-7-2x+8=(-3x+4)-(x-6)
Remove unnecessary parentheses
4x-5x-7-2x+8=-3x+4-(x-6)
Remove unnecessary parentheses
4x-5x-7-2x+8=-3x+4-1x+6
We move all terms containing x to the left and all other terms to the right.
+4x+1x-2x+3x+1x=+4+6+5+7-8
We simplify left and right side of the equation.
+7x=+14
We divide both sides of the equation by 7 to get x.
x=2
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