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4(x-2) -3(x-1) =2(x+6)
We simplify the equation to the form, which is simple to understand
4(x-2)-3(x-1)=2(x+6)
Reorder the terms in parentheses
+(+4x-8)-3*(x-1)=2*(x+6)
Remove unnecessary parentheses
+4x-8-3+*(+x-1+)=+2+*(+x+6+)
Reorder the terms in parentheses
+4x-8+(-3x+3)=2*(x+6)
Remove unnecessary parentheses
+4x-8-3x+3=+2+*(+x+6+)
Reorder the terms in parentheses
+4x-8-3x+3=+(+2x+12)
Remove unnecessary parentheses
+4x-8-3x+3=+2x+12
We move all terms containing x to the left and all other terms to the right.
+4x-3x-2x=+12+8-3
We simplify left and right side of the equation.
-1x=+17
We divide both sides of the equation by -1 to get x.
x=-17
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