(x-4)/10=3/5-(x-5)/15

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Solution for (x-4)/10=3/5-(x-5)/15 equation:


(x-4)/10=3/5-(x-5)/15

We simplify the equation to the form, which is simple to understand 
(x-4)/10=3/5-(x-5)/15

Simplifying:
(x-4)/10=0.6-(x-5)/15

Reorder the terms in parentheses
( + 0.1x-0.4)=0.6-(x-5)/15

Remove unnecessary parentheses
 + 0.1x-0.4=0.6-(x-5)/15

Reorder the terms in parentheses
 + 0.1x-0.4=0.6-( + 0.0666666666667x-0.333333333333)

Remove unnecessary parentheses
 + 0.1x-0.4=0.6-0.0666666666667x + 0.333333333333

We move all terms containing x to the left and all other terms to the right. 
 + 0.1x + 0.0666666666667x=0.6 + 0.333333333333 + 0.4

We simplify left and right side of the equation. 
 + 0.166666666667x=+1.33333333333

We divide both sides of the equation by 0.166666666667 to get x. 
x=8

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