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2(x+4)-5(x-3)=13
We simplify the equation to the form, which is simple to understand
2(x+4)-5(x-3)=13
Reorder the terms in parentheses
+(+2x+8)-5*(x-3)=13
Remove unnecessary parentheses
+2x+8-5+*(+x-3+)=+13
Reorder the terms in parentheses
+2x+8+(-5x+15)=13
Remove unnecessary parentheses
+2x+8-5x+15=+13
We move all terms containing x to the left and all other terms to the right.
+2x-5x=+13-8-15
We simplify left and right side of the equation.
-3x=-10
We divide both sides of the equation by -3 to get x.
x=3.3333333333333
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