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(2x-1)/2-(5x-5)/3=1/2
We simplify the equation to the form, which is simple to understand
(2x-1)/2-(5x-5)/3=1/2
Simplifying:
(2x-1)/2-(5x-5)/3=0.5
Reorder the terms in parentheses
(+1x-0.5)-(5x-5)/3=0.5
Remove unnecessary parentheses
+1x-0.5-(5x-5)/3=0.5
Reorder the terms in parentheses
+1x-0.5-(+1.66666666667x-1.66666666667)=0.5
Remove unnecessary parentheses
+1x-0.5-1.66666666667x+1.66666666667=0.5
We move all terms containing x to the left and all other terms to the right.
+1x-1.66666666667x=0.5 + 0.5-1.66666666667
We simplify left and right side of the equation.
-0.66666666667x=-0.66666666667
We divide both sides of the equation by -0.66666666667 to get x.
x=1
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