(1/2)(5x+4)-(1/3)(x+7)=4

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Solution for (1/2)(5x+4)-(1/3)(x+7)=4 equation:


(1/2)(5x+4)-(1/3)(x+7)=4

We simplify the equation to the form, which is simple to understand 
(1/2)*(5x+4)-(1/3)*(x+7)=4

Simplifying:
( + 0.5)*(5x+4)-(1/3)*(x+7)=4

Simplifying:
( + 0.5)*(5x+4)-( + 0.333333333333)*(x+7)=4

Reorder the terms in parentheses
multiplication of parentheses
(+2.5x+2)-( + 0.333333333333)*(x+7)=4



Remove unnecessary parentheses
+2.5x+2-( + 0.333333333333)*(x+7)=4

Reorder the terms in parentheses
multiplication of parentheses
+2.5x+2-( + 0.333333333333x+2.33333333333)=4



Remove unnecessary parentheses
+2.5x+2-0.333333333333x-2.33333333333=4

We move all terms containing x to the left and all other terms to the right. 
+2.5x-0.333333333333x=+4-2+2.33333333333

We simplify left and right side of the equation. 
+2.16666666667x=+4.33333333333

We divide both sides of the equation by 2.16666666667 to get x. 
x=2

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