(5x+1)/2=(x+9)/4+(x-7)/4

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Solution for (5x+1)/2=(x+9)/4+(x-7)/4 equation:


(5x+1)/2=(x+9)/4+(x-7)/4

We simplify the equation to the form, which is simple to understand
(5x+1)/2=(x+9)/4+(x-7)/4

Reorder the terms in parentheses
(+2.5x + 0.5)=(x+9)/4+(x-7)/4

Remove unnecessary parentheses
+2.5x + 0.5=(x+9)/4+(x-7)/4

Reorder the terms in parentheses
+2.5x + 0.5=( + 0.25x+2.25)+(x-7)/4

Remove unnecessary parentheses
+2.5x + 0.5=0.25x+2.25+(x-7)/4

Reorder the terms in parentheses
+2.5x + 0.5=0.25x+2.25+( + 0.25x-1.75)

Remove unnecessary parentheses
+2.5x + 0.5=0.25x+2.25 + 0.25x-1.75

We move all terms containing x to the left and all other terms to the right.
+2.5x-0.25x-0.25x=+2.25-1.75-0.5

We simplify left and right side of the equation.
+2x=0

We divide both sides of the equation by 2 to get x.
x=0

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