(2x-6)=(x+2)

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Solution for (2x-6)=(x+2) equation:


Simplifying
(2x + -6) = (x + 2)

Reorder the terms:
(-6 + 2x) = (x + 2)

Remove parenthesis around (-6 + 2x)
-6 + 2x = (x + 2)

Reorder the terms:
-6 + 2x = (2 + x)

Remove parenthesis around (2 + x)
-6 + 2x = 2 + x

Solving
-6 + 2x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 2x + -1x = 2 + x + -1x

Combine like terms: 2x + -1x = 1x
-6 + 1x = 2 + x + -1x

Combine like terms: x + -1x = 0
-6 + 1x = 2 + 0
-6 + 1x = 2

Add '6' to each side of the equation.
-6 + 6 + 1x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 2 + 6
1x = 2 + 6

Combine like terms: 2 + 6 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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