(1/2)(2x-4)+(1/3)(x+2)=2

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Solution for (1/2)(2x-4)+(1/3)(x+2)=2 equation:


(1/2)(2x-4)+(1/3)(x+2)=2

We simplify the equation to the form, which is simple to understand 
(1/2)*(2x-4)+(1/3)*(x+2)=2

Simplifying:
( + 0.5)*(2x-4)+(1/3)*(x+2)=2

Simplifying:
( + 0.5)*(2x-4)+( + 0.333333333333)*(x+2)=2

Reorder the terms in parentheses
multiplication of parentheses
(+1x-2)+( + 0.333333333333)*(x+2)=2



Remove unnecessary parentheses
+1x-2+( + 0.333333333333)*(x+2)=2

Reorder the terms in parentheses
multiplication of parentheses
+1x-2+( + 0.333333333333x + 0.666666666667)=2



Remove unnecessary parentheses
+1x-2 + 0.333333333333x + 0.666666666667=+2

We move all terms containing x to the left and all other terms to the right. 
+1x + 0.333333333333x=+2+2-0.666666666667

We simplify left and right side of the equation. 
+1.33333333333x=+3.33333333333

We divide both sides of the equation by 1.33333333333 to get x. 
x=2.5

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