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