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

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


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

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

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

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

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

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

Combine like terms: 2 + 6 = 8
8 + 6 + x + x = 3(x + 2)

Combine like terms: 8 + 6 = 14
14 + x + x = 3(x + 2)

Combine like terms: x + x = 2x
14 + 2x = 3(x + 2)

Reorder the terms:
14 + 2x = 3(2 + x)
14 + 2x = (2 * 3 + x * 3)
14 + 2x = (6 + 3x)

Solving
14 + 2x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
14 + 2x + -3x = 6 + 3x + -3x

Combine like terms: 2x + -3x = -1x
14 + -1x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -1x = 6 + 0
14 + -1x = 6

Add '-14' to each side of the equation.
14 + -14 + -1x = 6 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 6 + -14
-1x = 6 + -14

Combine like terms: 6 + -14 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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