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

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


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

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

Simplifying:
 + 0.666666666667*(x-3)-1/5*(x+2)=1/2*(2x+7)

Simplifying:
 + 0.666666666667*(x-3)-0.2*(x+2)=1/2*(2x+7)

Simplifying:
 + 0.666666666667*(x-3)-0.2*(x+2)=0.5*(2x+7)

Reorder the terms in parentheses
+( + 0.666666666667x-2)-0.2*(x+2)=0.5*(2x+7)

Remove unnecessary parentheses
 + 0.666666666667x-2-0.2+*(+x+2+)=0.5+*(+2x+7+)

Reorder the terms in parentheses
 + 0.666666666667x-2+(-0.2x-0.4)=0.5*(2x+7)

Remove unnecessary parentheses
 + 0.666666666667x-2-0.2x-0.4=0.5+*(+2x+7+)

Reorder the terms in parentheses
 + 0.666666666667x-2-0.2x-0.4=+(+1x+3.5)

Remove unnecessary parentheses
 + 0.666666666667x-2-0.2x-0.4=+1x+3.5

We move all terms containing x to the left and all other terms to the right. 
 + 0.666666666667x-0.2x-1x=+3.5+2 + 0.4

We simplify left and right side of the equation. 
-0.533333333333x=+5.9

We divide both sides of the equation by -0.533333333333 to get x. 
x=-11.0625

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