(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 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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