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3(x-2)+5(x+1)=2(x+5)-14
We simplify the equation to the form, which is simple to understand
3(x-2)+5(x+1)=2(x+5)-14
Reorder the terms in parentheses
+(+3x-6)+5*(x+1)=2*(x+5)-14
Remove unnecessary parentheses
+3x-6+5+*(+x+1+)=+2+*(+x+5+)-14
Reorder the terms in parentheses
+3x-6+(+5x+5)=2*(x+5)-14
Remove unnecessary parentheses
+3x-6+5x+5=+2+*(+x+5+)-14
Reorder the terms in parentheses
+3x-6+5x+5=+(+2x+10)-14
Remove unnecessary parentheses
+3x-6+5x+5=+2x+10-14
We move all terms containing x to the left and all other terms to the right.
+3x+5x-2x=+10-14+6-5
We simplify left and right side of the equation.
+6x=-3
We divide both sides of the equation by 6 to get x.
x=-0.5
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