2[2n+2]=n+10

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Solution for 2[2n+2]=n+10 equation: 


Simplifying
2[2n + 2] = n + 10

Reorder the terms:
2[2 + 2n] = n + 10
[2 * 2 + 2n * 2] = n + 10
[4 + 4n] = n + 10

Reorder the terms:
4 + 4n = 10 + n

Solving
4 + 4n = 10 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
4 + 4n + -1n = 10 + n + -1n

Combine like terms: 4n + -1n = 3n
4 + 3n = 10 + n + -1n

Combine like terms: n + -1n = 0
4 + 3n = 10 + 0
4 + 3n = 10

Add '-4' to each side of the equation.
4 + -4 + 3n = 10 + -4

Combine like terms: 4 + -4 = 0
0 + 3n = 10 + -4
3n = 10 + -4

Combine like terms: 10 + -4 = 6
3n = 6

Divide each side by '3'.
n = 2

Simplifying
n = 2

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