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3(x-1)-2(x+2)=5(x+2)+1
We simplify the equation to the form, which is simple to understand
3(x-1)-2(x+2)=5(x+2)+1
Reorder the terms in parentheses
+(+3x-3)-2*(x+2)=5*(x+2)+1
Remove unnecessary parentheses
+3x-3-2+*(+x+2+)=+5+*(+x+2+)+1
Reorder the terms in parentheses
+3x-3+(-2x-4)=5*(x+2)+1
Remove unnecessary parentheses
+3x-3-2x-4=+5+*(+x+2+)+1
Reorder the terms in parentheses
+3x-3-2x-4=+(+5x+10)+1
Remove unnecessary parentheses
+3x-3-2x-4=+5x+10+1
We move all terms containing x to the left and all other terms to the right.
+3x-2x-5x=+10+1+3+4
We simplify left and right side of the equation.
-4x=+18
We divide both sides of the equation by -4 to get x.
x=-4.5
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