2x+x+6=5x-7+9x

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Solution for 2x+x+6=5x-7+9x equation:


Simplifying
2x + x + 6 = 5x + -7 + 9x

Reorder the terms:
6 + 2x + x = 5x + -7 + 9x

Combine like terms: 2x + x = 3x
6 + 3x = 5x + -7 + 9x

Reorder the terms:
6 + 3x = -7 + 5x + 9x

Combine like terms: 5x + 9x = 14x
6 + 3x = -7 + 14x

Solving
6 + 3x = -7 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
6 + 3x + -14x = -7 + 14x + -14x

Combine like terms: 3x + -14x = -11x
6 + -11x = -7 + 14x + -14x

Combine like terms: 14x + -14x = 0
6 + -11x = -7 + 0
6 + -11x = -7

Add '-6' to each side of the equation.
6 + -6 + -11x = -7 + -6

Combine like terms: 6 + -6 = 0
0 + -11x = -7 + -6
-11x = -7 + -6

Combine like terms: -7 + -6 = -13
-11x = -13

Divide each side by '-11'.
x = 1.181818182

Simplifying
x = 1.181818182

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