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(3x+1)/5+(5x-1)/4=24
We simplify the equation to the form, which is simple to understand
(3x+1)/5+(5x-1)/4=24
Reorder the terms in parentheses
( + 0.6x + 0.2)+(5x-1)/4=24
Remove unnecessary parentheses
+ 0.6x + 0.2+(5x-1)/4=24
Reorder the terms in parentheses
+ 0.6x + 0.2+(+1.25x-0.25)=24
Remove unnecessary parentheses
+ 0.6x + 0.2+1.25x-0.25=+24
We move all terms containing x to the left and all other terms to the right.
+ 0.6x+1.25x=+24-0.2 + 0.25
We simplify left and right side of the equation.
+1.85x=+24.05
We divide both sides of the equation by 1.85 to get x.
x=13
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