(n+2)=2(n+8)

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Solution for (n+2)=2(n+8) equation:


Simplifying
(n + 2) = 2(n + 8)

Reorder the terms:
(2 + n) = 2(n + 8)

Remove parenthesis around (2 + n)
2 + n = 2(n + 8)

Reorder the terms:
2 + n = 2(8 + n)
2 + n = (8 * 2 + n * 2)
2 + n = (16 + 2n)

Solving
2 + n = 16 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
2 + n + -2n = 16 + 2n + -2n

Combine like terms: n + -2n = -1n
2 + -1n = 16 + 2n + -2n

Combine like terms: 2n + -2n = 0
2 + -1n = 16 + 0
2 + -1n = 16

Add '-2' to each side of the equation.
2 + -2 + -1n = 16 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 16 + -2
-1n = 16 + -2

Combine like terms: 16 + -2 = 14
-1n = 14

Divide each side by '-1'.
n = -14

Simplifying
n = -14

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