2x+120=5x+138

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Solution for 2x+120=5x+138 equation:


Simplifying
2x + 120 = 5x + 138

Reorder the terms:
120 + 2x = 5x + 138

Reorder the terms:
120 + 2x = 138 + 5x

Solving
120 + 2x = 138 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
120 + 2x + -5x = 138 + 5x + -5x

Combine like terms: 2x + -5x = -3x
120 + -3x = 138 + 5x + -5x

Combine like terms: 5x + -5x = 0
120 + -3x = 138 + 0
120 + -3x = 138

Add '-120' to each side of the equation.
120 + -120 + -3x = 138 + -120

Combine like terms: 120 + -120 = 0
0 + -3x = 138 + -120
-3x = 138 + -120

Combine like terms: 138 + -120 = 18
-3x = 18

Divide each side by '-3'.
x = -6

Simplifying
x = -6

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