1/2(x+3)+1/3(x-2)=20/3

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Solution for 1/2(x+3)+1/3(x-2)=20/3 equation:


1/2(x+3)+1/3(x-2)=20/3

We simplify the equation to the form, which is simple to understand 
1/2(x+3)+1/3(x-2)=20/3

Simplifying:
 + 0.5*(x+3)+1/3*(x-2)=20/3

Simplifying:
 + 0.5*(x+3) + 0.333333333333*(x-2)=20/3

Simplifying:
 + 0.5*(x+3) + 0.333333333333*(x-2)=+6.66666666667

Reorder the terms in parentheses
+( + 0.5x+1.5) + 0.333333333333*(x-2)=+6.66666666667

Remove unnecessary parentheses
 + 0.5x+1.5 + 0.333333333333+*(+x-2+)=+6.66666666667

Reorder the terms in parentheses
 + 0.5x+1.5+( + 0.333333333333x-0.666666666667)=+6.66666666667

Remove unnecessary parentheses
 + 0.5x+1.5 + 0.333333333333x-0.666666666667=+6.66666666667

We move all terms containing x to the left and all other terms to the right. 
 + 0.5x + 0.333333333333x=+6.66666666667-1.5 + 0.666666666667

We simplify left and right side of the equation. 
 + 0.833333333333x=+5.83333333333

We divide both sides of the equation by 0.833333333333 to get x. 
x=7

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