5x+117=2x-9

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Solution for 5x+117=2x-9 equation:


Simplifying
5x + 117 = 2x + -9

Reorder the terms:
117 + 5x = 2x + -9

Reorder the terms:
117 + 5x = -9 + 2x

Solving
117 + 5x = -9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
117 + 5x + -2x = -9 + 2x + -2x

Combine like terms: 5x + -2x = 3x
117 + 3x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
117 + 3x = -9 + 0
117 + 3x = -9

Add '-117' to each side of the equation.
117 + -117 + 3x = -9 + -117

Combine like terms: 117 + -117 = 0
0 + 3x = -9 + -117
3x = -9 + -117

Combine like terms: -9 + -117 = -126
3x = -126

Divide each side by '3'.
x = -42

Simplifying
x = -42

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