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(x-5)/2=(2x-2)/3
We simplify the equation to the form, which is simple to understand
(x-5)/2=(2x-2)/3
Reorder the terms in parentheses
( + 0.5x-2.5)=(2x-2)/3
Remove unnecessary parentheses
+ 0.5x-2.5=(2x-2)/3
Reorder the terms in parentheses
+ 0.5x-2.5=( + 0.666666666667x-0.666666666667)
Remove unnecessary parentheses
+ 0.5x-2.5=0.666666666667x-0.666666666667
We move all terms containing x to the left and all other terms to the right.
+ 0.5x-0.666666666667x=-0.666666666667+2.5
We simplify left and right side of the equation.
-0.166666666667x=+1.83333333333
We divide both sides of the equation by -0.166666666667 to get x.
x=-11
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