2x+120=9x-13

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Solution for 2x+120=9x-13 equation:


Simplifying
2x + 120 = 9x + -13

Reorder the terms:
120 + 2x = 9x + -13

Reorder the terms:
120 + 2x = -13 + 9x

Solving
120 + 2x = -13 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
120 + 2x + -9x = -13 + 9x + -9x

Combine like terms: 2x + -9x = -7x
120 + -7x = -13 + 9x + -9x

Combine like terms: 9x + -9x = 0
120 + -7x = -13 + 0
120 + -7x = -13

Add '-120' to each side of the equation.
120 + -120 + -7x = -13 + -120

Combine like terms: 120 + -120 = 0
0 + -7x = -13 + -120
-7x = -13 + -120

Combine like terms: -13 + -120 = -133
-7x = -133

Divide each side by '-7'.
x = 19

Simplifying
x = 19

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