(x-2)/5=(10-x)/8

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Solution for (x-2)/5=(10-x)/8 equation:


(x-2)/5=(10-x)/8

We simplify the equation to the form, which is simple to understand
(x-2)/5=(10-x)/8

Reorder the terms in parentheses
( + 0.2x-0.4)=(10-x)/8

Remove unnecessary parentheses
+ 0.2x-0.4=(10-x)/8

Reorder the terms in parentheses
+ 0.2x-0.4=(+1.25-0.125x)

Remove unnecessary parentheses
+ 0.2x-0.4=+1.25-0.125x

We move all terms containing x to the left and all other terms to the right.
+ 0.2x + 0.125x=+1.25 + 0.4

We simplify left and right side of the equation.
+ 0.325x=+1.65

We divide both sides of the equation by 0.325 to get x.
x=5.07692307692

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