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3x+5(x-8)=4(x-5)-12
We simplify the equation to the form, which is simple to understand
3x+5(x-8)=4(x-5)-12
Reorder the terms in parentheses
3x+(+5x-40)=4*(x-5)-12
Remove unnecessary parentheses
+3x+5x-40=+4+*(+x-5+)-12
Reorder the terms in parentheses
3x+5x-40=+(+4x-20)-12
Remove unnecessary parentheses
+3x+5x-40=+4x-20-12
We move all terms containing x to the left and all other terms to the right.
+3x+5x-4x=-20-12+40
We simplify left and right side of the equation.
+4x=+8
We divide both sides of the equation by 4 to get x.
x=2
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