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3(x-5)-6(x-8)=3(x-4)-5(x-6)
We simplify the equation to the form, which is simple to understand
3(x-5)-6(x-8)=3(x-4)-5(x-6)
Reorder the terms in parentheses
+(+3x-15)-6*(x-8)=3*(x-4)-5*(x-6)
Remove unnecessary parentheses
+3x-15-6+*(+x-8+)=+3+*(+x-4+)-5+*(+x-6+)
Reorder the terms in parentheses
+3x-15+(-6x+48)=3*(x-4)-5*(x-6)
Remove unnecessary parentheses
+3x-15-6x+48=+3+*(+x-4+)-5+*(+x-6+)
Reorder the terms in parentheses
+3x-15-6x+48=+(+3x-12)-5*(x-6)
Remove unnecessary parentheses
+3x-15-6x+48=+3x-12-5+*(+x-6+)
Reorder the terms in parentheses
+3x-15-6x+48=+3x-12+(-5x+30)
Remove unnecessary parentheses
+3x-15-6x+48=+3x-12-5x+30
We move all terms containing x to the left and all other terms to the right.
+3x-6x-3x+5x=-12+30+15-48
We simplify left and right side of the equation.
-1x=-15
We divide both sides of the equation by -1 to get x.
x=15
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