2x-6=8x+6

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Solution for 2x-6=8x+6 equation:


Simplifying
2x + -6 = 8x + 6

Reorder the terms:
-6 + 2x = 8x + 6

Reorder the terms:
-6 + 2x = 6 + 8x

Solving
-6 + 2x = 6 + 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.
-6 + 2x + -8x = 6 + 8x + -8x

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

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

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

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

Combine like terms: 6 + 6 = 12
-6x = 12

Divide each side by '-6'.
x = -2

Simplifying
x = -2

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