(3x-7)/5-(x-7)/4+(3x+5)/2=1

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Solution for (3x-7)/5-(x-7)/4+(3x+5)/2=1 equation:


(3x-7)/5-(x-7)/4+(3x+5)/2=1

We simplify the equation to the form, which is simple to understand 
(3x-7)/5-(x-7)/4+(3x+5)/2=1

Reorder the terms in parentheses
( + 0.6x-1.4)-(x-7)/4+(3x+5)/2=1

Remove unnecessary parentheses
 + 0.6x-1.4-(x-7)/4+(3x+5)/2=1

Reorder the terms in parentheses
 + 0.6x-1.4-( + 0.25x-1.75)+(3x+5)/2=1

Remove unnecessary parentheses
 + 0.6x-1.4-0.25x+1.75+(3x+5)/2=1

Reorder the terms in parentheses
 + 0.6x-1.4-0.25x+1.75+(+1.5x+2.5)=1

Remove unnecessary parentheses
 + 0.6x-1.4-0.25x+1.75+1.5x+2.5=+1

We move all terms containing x to the left and all other terms to the right. 
 + 0.6x-0.25x+1.5x=+1+1.4-1.75-2.5

We simplify left and right side of the equation. 
+1.85x=-1.85

We divide both sides of the equation by 1.85 to get x. 
x=-1

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