2x+100=8x-8

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Solution for 2x+100=8x-8 equation:


Simplifying
2x + 100 = 8x + -8

Reorder the terms:
100 + 2x = 8x + -8

Reorder the terms:
100 + 2x = -8 + 8x

Solving
100 + 2x = -8 + 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.
100 + 2x + -8x = -8 + 8x + -8x

Combine like terms: 2x + -8x = -6x
100 + -6x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
100 + -6x = -8 + 0
100 + -6x = -8

Add '-100' to each side of the equation.
100 + -100 + -6x = -8 + -100

Combine like terms: 100 + -100 = 0
0 + -6x = -8 + -100
-6x = -8 + -100

Combine like terms: -8 + -100 = -108
-6x = -108

Divide each side by '-6'.
x = 18

Simplifying
x = 18

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