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3(x+2)-2(x+1)+5(x-2)=15
We simplify the equation to the form, which is simple to understand
3(x+2)-2(x+1)+5(x-2)=15
Reorder the terms in parentheses
+(+3x+6)-2*(x+1)+5*(x-2)=15
Remove unnecessary parentheses
+3x+6-2+*(+x+1+)+5+*(+x-2+)=+15
Reorder the terms in parentheses
+3x+6+(-2x-2)+5*(x-2)=15
Remove unnecessary parentheses
+3x+6-2x-2+5+*(+x-2+)=+15
Reorder the terms in parentheses
+3x+6-2x-2+(+5x-10)=15
Remove unnecessary parentheses
+3x+6-2x-2+5x-10=+15
We move all terms containing x to the left and all other terms to the right.
+3x-2x+5x=+15-6+2+10
We simplify left and right side of the equation.
+6x=+21
We divide both sides of the equation by 6 to get x.
x=3.5
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