2(n+5)=4(n+2)-n

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Solution for 2(n+5)=4(n+2)-n equation: 


Simplifying
2(n + 5) = 4(n + 2) + -1n

Reorder the terms:
2(5 + n) = 4(n + 2) + -1n
(5 * 2 + n * 2) = 4(n + 2) + -1n
(10 + 2n) = 4(n + 2) + -1n

Reorder the terms:
10 + 2n = 4(2 + n) + -1n
10 + 2n = (2 * 4 + n * 4) + -1n
10 + 2n = (8 + 4n) + -1n

Combine like terms: 4n + -1n = 3n
10 + 2n = 8 + 3n

Solving
10 + 2n = 8 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
10 + 2n + -3n = 8 + 3n + -3n

Combine like terms: 2n + -3n = -1n
10 + -1n = 8 + 3n + -3n

Combine like terms: 3n + -3n = 0
10 + -1n = 8 + 0
10 + -1n = 8

Add '-10' to each side of the equation.
10 + -10 + -1n = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -1n = 8 + -10
-1n = 8 + -10

Combine like terms: 8 + -10 = -2
-1n = -2

Divide each side by '-1'.
n = 2

Simplifying
n = 2

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