(x-1)/5-(x+2)/4=(2x)/3+(8-3x)/2

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Solution for (x-1)/5-(x+2)/4=(2x)/3+(8-3x)/2 equation:


(x-1)/5-(x+2)/4=(2x)/3+(8-3x)/2

We simplify the equation to the form, which is simple to understand
(x-1)/5-(x+2)/4=(2x)/3+(8-3x)/2

Reorder the terms in parentheses
( + 0.2x-0.2)-(x+2)/4=(2x)/3+(8-3x)/2

Remove unnecessary parentheses
+ 0.2x-0.2-(x+2)/4=(2x)/3+(8-3x)/2

Reorder the terms in parentheses
+ 0.2x-0.2-( + 0.25x + 0.5)=(2x)/3+(8-3x)/2

Remove unnecessary parentheses
+ 0.2x-0.2-0.25x-0.5=(2x)/3+(8-3x)/2

Reorder the terms in parentheses
+ 0.2x-0.2-0.25x-0.5=( + 0.66666666666667x)+(8-3x)/2

Remove unnecessary parentheses
+ 0.2x-0.2-0.25x-0.5=0.66666666666667x+(8-3x)/2

Reorder the terms in parentheses
+ 0.2x-0.2-0.25x-0.5=0.66666666666667x+(+4-1.5x)

Remove unnecessary parentheses
+ 0.2x-0.2-0.25x-0.5=0.66666666666667x+4-1.5x

We move all terms containing x to the left and all other terms to the right.
+ 0.2x-0.25x-0.66666666666667x+1.5x=+4 + 0.2 + 0.5

We simplify left and right side of the equation.
+ 0.78333333333333x=+4.7

We divide both sides of the equation by 0.78333333333333 to get x.
x=6

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