x-120=7x-30

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Solution for x-120=7x-30 equation:


Simplifying
x + -120 = 7x + -30

Reorder the terms:
-120 + x = 7x + -30

Reorder the terms:
-120 + x = -30 + 7x

Solving
-120 + x = -30 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-120 + x + -7x = -30 + 7x + -7x

Combine like terms: x + -7x = -6x
-120 + -6x = -30 + 7x + -7x

Combine like terms: 7x + -7x = 0
-120 + -6x = -30 + 0
-120 + -6x = -30

Add '120' to each side of the equation.
-120 + 120 + -6x = -30 + 120

Combine like terms: -120 + 120 = 0
0 + -6x = -30 + 120
-6x = -30 + 120

Combine like terms: -30 + 120 = 90
-6x = 90

Divide each side by '-6'.
x = -15

Simplifying
x = -15

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