(2x+13)/3-(6-x)/4=1

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Solution for (2x+13)/3-(6-x)/4=1 equation:


(2x+13)/3-(6-x)/4 =1

We simplify the equation to the form, which is simple to understand
(2x+13)/3-(6-x)/4=1

Reorder the terms in parentheses
( + 0.66666666666667x+4.3333333333333)-(6-x)/4=1

Remove unnecessary parentheses
+ 0.66666666666667x+4.3333333333333-(6-x)/4=1

Reorder the terms in parentheses
+ 0.66666666666667x+4.3333333333333-(+1.5-0.25x)=1

Remove unnecessary parentheses
+ 0.66666666666667x+4.3333333333333-1.5 + 0.25x=1

We move all terms containing x to the left and all other terms to the right.
+ 0.66666666666667x + 0.25x=+1-4.3333333333333+1.5

We simplify left and right side of the equation.
+ 0.91666666666667x=-1.8333333333333

We divide both sides of the equation by 0.91666666666667 to get x.
x=-2

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