5n+7+n=3n-2+2(n+1)

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Solution for 5n+7+n=3n-2+2(n+1) equation:


Simplifying
5n + 7 + n = 3n + -2 + 2(n + 1)

Reorder the terms:
7 + 5n + n = 3n + -2 + 2(n + 1)

Combine like terms: 5n + n = 6n
7 + 6n = 3n + -2 + 2(n + 1)

Reorder the terms:
7 + 6n = 3n + -2 + 2(1 + n)
7 + 6n = 3n + -2 + (1 * 2 + n * 2)
7 + 6n = 3n + -2 + (2 + 2n)

Reorder the terms:
7 + 6n = -2 + 2 + 3n + 2n

Combine like terms: -2 + 2 = 0
7 + 6n = 0 + 3n + 2n
7 + 6n = 3n + 2n

Combine like terms: 3n + 2n = 5n
7 + 6n = 5n

Solving
7 + 6n = 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
7 + 6n + -5n = 5n + -5n

Combine like terms: 6n + -5n = 1n
7 + 1n = 5n + -5n

Combine like terms: 5n + -5n = 0
7 + 1n = 0

Add '-7' to each side of the equation.
7 + -7 + 1n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 1n = 0 + -7
1n = 0 + -7

Combine like terms: 0 + -7 = -7
1n = -7

Divide each side by '1'.
n = -7

Simplifying
n = -7

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