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x+2/3-x+11/2=3/2*(2-x/2+x)-5/6
We simplify the equation to the form, which is simple to understand
x+2/3-x+11/2=3/2*(2-x/2+x)-5/6
Reorder the terms in parentheses
x + 0.66666666666667-x+5.5=+(+3 + 0.75x)-0.83333333333333
Remove unnecessary parentheses
+x + 0.66666666666667-x+5.5=+3 + 0.75x-0.83333333333333
We move all terms containing x to the left and all other terms to the right.
+1x-1x-0.75x=+3-0.83333333333333-0.66666666666667-5.5
We simplify left and right side of the equation.
-0.75x=-4
We divide both sides of the equation by -0.75 to get x.
x=5.3333333333333
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