5x+120=14x-6

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Solution for 5x+120=14x-6 equation:


Simplifying
5x + 120 = 14x + -6

Reorder the terms:
120 + 5x = 14x + -6

Reorder the terms:
120 + 5x = -6 + 14x

Solving
120 + 5x = -6 + 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.
120 + 5x + -14x = -6 + 14x + -14x

Combine like terms: 5x + -14x = -9x
120 + -9x = -6 + 14x + -14x

Combine like terms: 14x + -14x = 0
120 + -9x = -6 + 0
120 + -9x = -6

Add '-120' to each side of the equation.
120 + -120 + -9x = -6 + -120

Combine like terms: 120 + -120 = 0
0 + -9x = -6 + -120
-9x = -6 + -120

Combine like terms: -6 + -120 = -126
-9x = -126

Divide each side by '-9'.
x = 14

Simplifying
x = 14

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