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8(4x-51)-6(17-3x)=12(x+5)
We simplify the equation to the form, which is simple to understand
8(4x-51)-6(17-3x)=12(x+5)
Reorder the terms in parentheses
+(+32x-408)-6*(17-3x)=12*(x+5)
Remove unnecessary parentheses
+32x-408-6+*(+17-3x+)=+12+*(+x+5+)
Reorder the terms in parentheses
+32x-408+(-102+18x)=12*(x+5)
Remove unnecessary parentheses
+32x-408-102+18x=+12+*(+x+5+)
Reorder the terms in parentheses
+32x-408-102+18x=+(+12x+60)
Remove unnecessary parentheses
+32x-408-102+18x=+12x+60
We move all terms containing x to the left and all other terms to the right.
+32x+18x-12x=+60+408+102
We simplify left and right side of the equation.
+38x=+570
We divide both sides of the equation by 38 to get x.
x=15
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