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4(3x-6)-7x+6=-2(x-6)+4x
We simplify the equation to the form, which is simple to understand
4(3x-6)-7x+6=-2(x-6)+4x
Reorder the terms in parentheses
+(+12x-24)-7x+6=-2*(x-6)+4x
Remove unnecessary parentheses
+12x-24-7x+6=-2+*(+x-6+)+4x
Reorder the terms in parentheses
+12x-24-7x+6=+(-2x+12)+4x
Remove unnecessary parentheses
+12x-24-7x+6=-2x+12+4x
We move all terms containing x to the left and all other terms to the right.
+12x-7x+2x-4x=+12+24-6
We simplify left and right side of the equation.
+3x=+30
We divide both sides of the equation by 3 to get x.
x=10
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