(5x-3)/6-(7x-1)/4=(4x+2)/12-5

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Solution for (5x-3)/6-(7x-1)/4=(4x+2)/12-5 equation:


(5x-3)/6-(7x-1)/4=(4x+2)/12-5

We simplify the equation to the form, which is simple to understand 
(5x-3)/6-(7x-1)/4=(4x+2)/12-5

Reorder the terms in parentheses
( + 0.83333333333333x-0.5)-(7x-1)/4=(4x+2)/12-5

Remove unnecessary parentheses
 + 0.83333333333333x-0.5-(7x-1)/4=(4x+2)/12-5

Reorder the terms in parentheses
 + 0.83333333333333x-0.5-(+1.75x-0.25)=(4x+2)/12-5

Remove unnecessary parentheses
 + 0.83333333333333x-0.5-1.75x + 0.25=(4x+2)/12-5

Reorder the terms in parentheses
 + 0.83333333333333x-0.5-1.75x + 0.25=( + 0.33333333333333x + 0.16666666666667)-5

Remove unnecessary parentheses
 + 0.83333333333333x-0.5-1.75x + 0.25=0.33333333333333x + 0.16666666666667-5

We move all terms containing x to the left and all other terms to the right. 
 + 0.83333333333333x-1.75x-0.33333333333333x=0.16666666666667-5 + 0.5-0.25

We simplify left and right side of the equation. 
-1.25x=-4.5833333333333

We divide both sides of the equation by -1.25 to get x. 
x=3.6666666666667

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