2x+109=8x-11

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Solution for 2x+109=8x-11 equation:


Simplifying
2x + 109 = 8x + -11

Reorder the terms:
109 + 2x = 8x + -11

Reorder the terms:
109 + 2x = -11 + 8x

Solving
109 + 2x = -11 + 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.
109 + 2x + -8x = -11 + 8x + -8x

Combine like terms: 2x + -8x = -6x
109 + -6x = -11 + 8x + -8x

Combine like terms: 8x + -8x = 0
109 + -6x = -11 + 0
109 + -6x = -11

Add '-109' to each side of the equation.
109 + -109 + -6x = -11 + -109

Combine like terms: 109 + -109 = 0
0 + -6x = -11 + -109
-6x = -11 + -109

Combine like terms: -11 + -109 = -120
-6x = -120

Divide each side by '-6'.
x = 20

Simplifying
x = 20

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