(4x-3)/3=(2x+5)/6-(8x-10)/18

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Solution for (4x-3)/3=(2x+5)/6-(8x-10)/18 equation:


(4x-3)/3=(2x+5)/6-(8x-10)/18

We simplify the equation to the form, which is simple to understand 
(4x-3)/3=(2x+5)/6-(8x-10)/18

Reorder the terms in parentheses
(+1.33333333333x-1)=(2x+5)/6-(8x-10)/18

Remove unnecessary parentheses
+1.33333333333x-1=(2x+5)/6-(8x-10)/18

Reorder the terms in parentheses
+1.33333333333x-1=( + 0.333333333333x + 0.833333333333)-(8x-10)/18

Remove unnecessary parentheses
+1.33333333333x-1=0.333333333333x + 0.833333333333-(8x-10)/18

Reorder the terms in parentheses
+1.33333333333x-1=0.333333333333x + 0.833333333333-( + 0.444444444444x-0.555555555556)

Remove unnecessary parentheses
+1.33333333333x-1=0.333333333333x + 0.833333333333-0.444444444444x + 0.555555555556

We move all terms containing x to the left and all other terms to the right. 
+1.33333333333x-0.333333333333x + 0.444444444444x=0.833333333333 + 0.555555555556+1

We simplify left and right side of the equation. 
+1.44444444444x=+2.38888888889

We divide both sides of the equation by 1.44444444444 to get x. 
x=1.65384615385

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