(3x-2)=(x+6)

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Solution for (3x-2)=(x+6) equation:


Simplifying
(3x + -2) = (x + 6)

Reorder the terms:
(-2 + 3x) = (x + 6)

Remove parenthesis around (-2 + 3x)
-2 + 3x = (x + 6)

Reorder the terms:
-2 + 3x = (6 + x)

Remove parenthesis around (6 + x)
-2 + 3x = 6 + x

Solving
-2 + 3x = 6 + 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.
-2 + 3x + -1x = 6 + x + -1x

Combine like terms: 3x + -1x = 2x
-2 + 2x = 6 + x + -1x

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

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

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

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

Divide each side by '2'.
x = 4

Simplifying
x = 4

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