1/2(x+3)+1/3(x-2)=62/3

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Solution for 1/2(x+3)+1/3(x-2)=62/3 equation:


1/2(x+3)+1/3(x-2)=62/3

We simplify the equation to the form, which is simple to understand
1/2(x+3)+1/3(x-2)=62/3

Simplifying:
+ 0.5*(x+3)+1/3*(x-2)=62/3

Simplifying:
+ 0.5*(x+3) + 0.333333333333*(x-2)=62/3

Simplifying:
+ 0.5*(x+3) + 0.333333333333*(x-2)=+20.6666666667

Reorder the terms in parentheses
+( + 0.5x+1.5) + 0.333333333333*(x-2)=+20.6666666667

Remove unnecessary parentheses
+ 0.5x+1.5 + 0.333333333333+*(+x-2+)=+20.6666666667

Reorder the terms in parentheses
+ 0.5x+1.5+( + 0.333333333333x-0.666666666667)=+20.6666666667

Remove unnecessary parentheses
+ 0.5x+1.5 + 0.333333333333x-0.666666666667=+20.6666666667

We move all terms containing x to the left and all other terms to the right.
+ 0.5x + 0.333333333333x=+20.6666666667-1.5 + 0.666666666667

We simplify left and right side of the equation.
+ 0.833333333333x=+19.8333333333

We divide both sides of the equation by 0.833333333333 to get x.
x=23.8

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