2x-6=-8x+2

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


Simplifying
2x + -6 = -8x + 2

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

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

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

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

Combine like terms: -8x + 8x = 0
-6 + 10x = 2 + 0
-6 + 10x = 2

Add '6' to each side of the equation.
-6 + 6 + 10x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 10x = 2 + 6
10x = 2 + 6

Combine like terms: 2 + 6 = 8
10x = 8

Divide each side by '10'.
x = 0.8

Simplifying
x = 0.8

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