7x-120=2x-10

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Solution for 7x-120=2x-10 equation:


Simplifying
7x + -120 = 2x + -10

Reorder the terms:
-120 + 7x = 2x + -10

Reorder the terms:
-120 + 7x = -10 + 2x

Solving
-120 + 7x = -10 + 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.
-120 + 7x + -2x = -10 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-120 + 5x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-120 + 5x = -10 + 0
-120 + 5x = -10

Add '120' to each side of the equation.
-120 + 120 + 5x = -10 + 120

Combine like terms: -120 + 120 = 0
0 + 5x = -10 + 120
5x = -10 + 120

Combine like terms: -10 + 120 = 110
5x = 110

Divide each side by '5'.
x = 22

Simplifying
x = 22

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