(5x-3)+(7x-5)=x

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Solution for (5x-3)+(7x-5)=x equation:


Simplifying
(5x + -3) + (7x + -5) = x

Reorder the terms:
(-3 + 5x) + (7x + -5) = x

Remove parenthesis around (-3 + 5x)
-3 + 5x + (7x + -5) = x

Reorder the terms:
-3 + 5x + (-5 + 7x) = x

Remove parenthesis around (-5 + 7x)
-3 + 5x + -5 + 7x = x

Reorder the terms:
-3 + -5 + 5x + 7x = x

Combine like terms: -3 + -5 = -8
-8 + 5x + 7x = x

Combine like terms: 5x + 7x = 12x
-8 + 12x = x

Solving
-8 + 12x = x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
-8 + 12x + -1x = x + -1x

Combine like terms: 12x + -1x = 11x
-8 + 11x = x + -1x

Combine like terms: x + -1x = 0
-8 + 11x = 0

Add '8' to each side of the equation.
-8 + 8 + 11x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 11x = 0 + 8
11x = 0 + 8

Combine like terms: 0 + 8 = 8
11x = 8

Divide each side by '11'.
x = 0.7272727273

Simplifying
x = 0.7272727273

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