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5(3x-3)-2(4x-12)=3(2x+4)-6
We simplify the equation to the form, which is simple to understand
5(3x-3)-2(4x-12)=3(2x+4)-6
Reorder the terms in parentheses
+(+15x-15)-2*(4x-12)=3*(2x+4)-6
Remove unnecessary parentheses
+15x-15-2+*(+4x-12+)=+3+*(+2x+4+)-6
Reorder the terms in parentheses
+15x-15+(-8x+24)=3*(2x+4)-6
Remove unnecessary parentheses
+15x-15-8x+24=+3+*(+2x+4+)-6
Reorder the terms in parentheses
+15x-15-8x+24=+(+6x+12)-6
Remove unnecessary parentheses
+15x-15-8x+24=+6x+12-6
We move all terms containing x to the left and all other terms to the right.
+15x-8x-6x=+12-6+15-24
We simplify left and right side of the equation.
+1x=-3
We divide both sides of the equation by 1 to get x.
x=-3
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