(3x+13)/2+(x-13)/3=(19)/2

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Solution for (3x+13)/2+(x-13)/3=(19)/2 equation:


(3x+13)/2+(x-13)/3=(19)/2

We simplify the equation to the form, which is simple to understand 
(3x+13)/2+(x-13)/3=(19)/2

Reorder the terms in parentheses
(+1.5x+6.5)+(x-13)/3=(19)/2

Remove unnecessary parentheses
+1.5x+6.5+(x-13)/3=(19)/2

Reorder the terms in parentheses
+1.5x+6.5+( + 0.333333333333x-4.33333333333)=(19)/2

Remove unnecessary parentheses
+1.5x+6.5 + 0.333333333333x-4.33333333333=+(+19+)+/2

Reorder the terms in parentheses
+1.5x+6.5 + 0.333333333333x-4.33333333333=(+9.5)

Remove unnecessary parentheses
+1.5x+6.5 + 0.333333333333x-4.33333333333=+9.5

We move all terms containing x to the left and all other terms to the right. 
+1.5x + 0.333333333333x=+9.5-6.5+4.33333333333

We simplify left and right side of the equation. 
+1.83333333333x=+7.33333333333

We divide both sides of the equation by 1.83333333333 to get x. 
x=4

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