(5x-2)+(7x-4)=x

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


Simplifying
(5x + -2) + (7x + -4) = x

Reorder the terms:
(-2 + 5x) + (7x + -4) = x

Remove parenthesis around (-2 + 5x)
-2 + 5x + (7x + -4) = x

Reorder the terms:
-2 + 5x + (-4 + 7x) = x

Remove parenthesis around (-4 + 7x)
-2 + 5x + -4 + 7x = x

Reorder the terms:
-2 + -4 + 5x + 7x = x

Combine like terms: -2 + -4 = -6
-6 + 5x + 7x = x

Combine like terms: 5x + 7x = 12x
-6 + 12x = x

Solving
-6 + 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.
-6 + 12x + -1x = x + -1x

Combine like terms: 12x + -1x = 11x
-6 + 11x = x + -1x

Combine like terms: x + -1x = 0
-6 + 11x = 0

Add '6' to each side of the equation.
-6 + 6 + 11x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 11x = 0 + 6
11x = 0 + 6

Combine like terms: 0 + 6 = 6
11x = 6

Divide each side by '11'.
x = 0.5454545455

Simplifying
x = 0.5454545455

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