(x-1)/2-2(x-2)/3=-x/4

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Solution for (x-1)/2-2(x-2)/3=-x/4 equation:


(x-1)/2-2(x-2)/3=-x/4

We simplify the equation to the form, which is simple to understand
(x-1)/2-2(x-2)/3=-x/4

Simplifying:
(x-1)/2-2*(x-2)/3=-0.25x

Reorder the terms in parentheses
( + 0.5x-0.5)-2*(x-2)/3=-0.25x

Remove unnecessary parentheses
+ 0.5x-0.5-2*(x-2)/3=-0.25x

Reorder the terms in parentheses
+ 0.5x-0.5+(-2x+4)/3=-0.25x

Reorder the terms in parentheses
+ 0.5x-0.5+(-0.666666666667x+1.33333333333)=-0.25x

Remove unnecessary parentheses
+ 0.5x-0.5-0.666666666667x+1.33333333333=-0.25x

We move all terms containing x to the left and all other terms to the right.
+ 0.5x-0.666666666667x + 0.25x=0.5-1.33333333333

We simplify left and right side of the equation.
+ 0.083333333333x=-0.83333333333

We divide both sides of the equation by 0.083333333333 to get x.
x=-10

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