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(x+4)/5-(x-5)/4=3
We simplify the equation to the form, which is simple to understand
(x+4)/5-(x-5)/4=3
Reorder the terms in parentheses
( + 0.2x + 0.8)-(x-5)/4=3
Remove unnecessary parentheses
+ 0.2x + 0.8-(x-5)/4=3
Reorder the terms in parentheses
+ 0.2x + 0.8-( + 0.25x-1.25)=3
Remove unnecessary parentheses
+ 0.2x + 0.8-0.25x+1.25=3
We move all terms containing x to the left and all other terms to the right.
+ 0.2x-0.25x=+3-0.8-1.25
We simplify left and right side of the equation.
-0.05x=0.95
We divide both sides of the equation by -0.05 to get x.
x=-19
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