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3(x-4)=5(2x-3)-2(3x-5)
We simplify the equation to the form, which is simple to understand
3(x-4)=5(2x-3)-2(3x-5)
Reorder the terms in parentheses
+(+3x-12)=5*(2x-3)-2*(3x-5)
Remove unnecessary parentheses
+3x-12=+5+*(+2x-3+)-2+*(+3x-5+)
Reorder the terms in parentheses
+3x-12=+(+10x-15)-2*(3x-5)
Remove unnecessary parentheses
+3x-12=+10x-15-2+*(+3x-5+)
Reorder the terms in parentheses
+3x-12=+10x-15+(-6x+10)
Remove unnecessary parentheses
+3x-12=+10x-15-6x+10
We move all terms containing x to the left and all other terms to the right.
+3x-10x+6x=-15+10+12
We simplify left and right side of the equation.
-1x=+7
We divide both sides of the equation by -1 to get x.
x=-7
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