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1/3(x+6)=1/2(7-x)
We simplify the equation to the form, which is simple to understand
1/3(x+6)=1/2(7-x)
Reorder the terms in parentheses
+( + 0.33333333333333x+2)=0.5*(7-x)
Remove unnecessary parentheses
+ 0.33333333333333x+2=0.5+*(+7-x+)
Reorder the terms in parentheses
+ 0.33333333333333x+2=+(+3.5-0.5x)
Remove unnecessary parentheses
+ 0.33333333333333x+2=+3.5-0.5x
We move all terms containing x to the left and all other terms to the right.
+ 0.33333333333333x + 0.5x=+3.5-2
We simplify left and right side of the equation.
+ 0.83333333333333x=+1.5
We divide both sides of the equation by 0.83333333333333 to get x.
x=1.8
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