(3x+8)+(9x-4)=x

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Solution for (3x+8)+(9x-4)=x equation:


Simplifying
(3x + 8) + (9x + -4) = x

Reorder the terms:
(8 + 3x) + (9x + -4) = x

Remove parenthesis around (8 + 3x)
8 + 3x + (9x + -4) = x

Reorder the terms:
8 + 3x + (-4 + 9x) = x

Remove parenthesis around (-4 + 9x)
8 + 3x + -4 + 9x = x

Reorder the terms:
8 + -4 + 3x + 9x = x

Combine like terms: 8 + -4 = 4
4 + 3x + 9x = x

Combine like terms: 3x + 9x = 12x
4 + 12x = x

Solving
4 + 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.
4 + 12x + -1x = x + -1x

Combine like terms: 12x + -1x = 11x
4 + 11x = x + -1x

Combine like terms: x + -1x = 0
4 + 11x = 0

Add '-4' to each side of the equation.
4 + -4 + 11x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 11x = 0 + -4
11x = 0 + -4

Combine like terms: 0 + -4 = -4
11x = -4

Divide each side by '11'.
x = -0.3636363636

Simplifying
x = -0.3636363636

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