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3(x+5)-2(x-1)=2(7-x)
We simplify the equation to the form, which is simple to understand
3(x+5)-2(x-1)=2(7-x)
Reorder the terms in parentheses
+(+3x+15)-2*(x-1)=2*(7-x)
Remove unnecessary parentheses
+3x+15-2+*(+x-1+)=+2+*(+7-x+)
Reorder the terms in parentheses
+3x+15+(-2x+2)=2*(7-x)
Remove unnecessary parentheses
+3x+15-2x+2=+2+*(+7-x+)
Reorder the terms in parentheses
+3x+15-2x+2=+(+14-2x)
Remove unnecessary parentheses
+3x+15-2x+2=+14-2x
We move all terms containing x to the left and all other terms to the right.
+3x-2x+2x=+14-15-2
We simplify left and right side of the equation.
+3x=-3
We divide both sides of the equation by 3 to get x.
x=-1
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