4x-6-2x+10=8x-120

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Solution for 4x-6-2x+10=8x-120 equation:


Simplifying
4x + -6 + -2x + 10 = 8x + -120

Reorder the terms:
-6 + 10 + 4x + -2x = 8x + -120

Combine like terms: -6 + 10 = 4
4 + 4x + -2x = 8x + -120

Combine like terms: 4x + -2x = 2x
4 + 2x = 8x + -120

Reorder the terms:
4 + 2x = -120 + 8x

Solving
4 + 2x = -120 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
4 + 2x + -8x = -120 + 8x + -8x

Combine like terms: 2x + -8x = -6x
4 + -6x = -120 + 8x + -8x

Combine like terms: 8x + -8x = 0
4 + -6x = -120 + 0
4 + -6x = -120

Add '-4' to each side of the equation.
4 + -4 + -6x = -120 + -4

Combine like terms: 4 + -4 = 0
0 + -6x = -120 + -4
-6x = -120 + -4

Combine like terms: -120 + -4 = -124
-6x = -124

Divide each side by '-6'.
x = 20.66666667

Simplifying
x = 20.66666667

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