(x/4-x-2/3)/5=(x-3)/2

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


(x/4-x-2/3)/5=(x-3)/2

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

Simplifying:
( + 0.25x-x-2/3)/5=(x-3)/2

Simplifying:
( + 0.25x-x-0.666666666667)/5=(x-3)/2

Simplifying terms in parentheses
(-0.666666666667-0.75x)/5=(x-3)/2

Reorder the terms in parentheses
(-0.133333333333-0.15x)=(x-3)/2

Remove unnecessary parentheses
-0.133333333333-0.15x=(x-3)/2

Reorder the terms in parentheses
-0.133333333333-0.15x=( + 0.5x-1.5)

Remove unnecessary parentheses
-0.133333333333-0.15x=0.5x-1.5

We move all terms containing x to the left and all other terms to the right.
-0.15x-0.5x=-1.5 + 0.133333333333

We simplify left and right side of the equation.
-0.65x=-1.36666666667

We divide both sides of the equation by -0.65 to get x.
x=2.10256410256

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