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(2x-3)/5+(x+3)/4=(4x+1)/7
We simplify the equation to the form, which is simple to understand
(2x-3)/5+(x+3)/4=(4x+1)/7
Reorder the terms in parentheses
( + 0.4x-0.6)+(x+3)/4=(4x+1)/7
Remove unnecessary parentheses
+ 0.4x-0.6+(x+3)/4=(4x+1)/7
Reorder the terms in parentheses
+ 0.4x-0.6+( + 0.25x + 0.75)=(4x+1)/7
Remove unnecessary parentheses
+ 0.4x-0.6 + 0.25x + 0.75=+(+4x+1+)+/7
Reorder the terms in parentheses
+ 0.4x-0.6 + 0.25x + 0.75=( + 0.571428571429x + 0.142857142857)
Remove unnecessary parentheses
+ 0.4x-0.6 + 0.25x + 0.75=0.571428571429x + 0.142857142857
We move all terms containing x to the left and all other terms to the right.
+ 0.4x + 0.25x-0.571428571429x=0.142857142857 + 0.6-0.75
We simplify left and right side of the equation.
+ 0.078571428571x=-0.00714285714286
We divide both sides of the equation by 0.078571428571 to get x.
x=-0.0909090909096
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