(n+6)+(n+3)=3n-5

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Solution for (n+6)+(n+3)=3n-5 equation:


Simplifying
(n + 6) + (n + 3) = 3n + -5

Reorder the terms:
(6 + n) + (n + 3) = 3n + -5

Remove parenthesis around (6 + n)
6 + n + (n + 3) = 3n + -5

Reorder the terms:
6 + n + (3 + n) = 3n + -5

Remove parenthesis around (3 + n)
6 + n + 3 + n = 3n + -5

Reorder the terms:
6 + 3 + n + n = 3n + -5

Combine like terms: 6 + 3 = 9
9 + n + n = 3n + -5

Combine like terms: n + n = 2n
9 + 2n = 3n + -5

Reorder the terms:
9 + 2n = -5 + 3n

Solving
9 + 2n = -5 + 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.
9 + 2n + -3n = -5 + 3n + -3n

Combine like terms: 2n + -3n = -1n
9 + -1n = -5 + 3n + -3n

Combine like terms: 3n + -3n = 0
9 + -1n = -5 + 0
9 + -1n = -5

Add '-9' to each side of the equation.
9 + -9 + -1n = -5 + -9

Combine like terms: 9 + -9 = 0
0 + -1n = -5 + -9
-1n = -5 + -9

Combine like terms: -5 + -9 = -14
-1n = -14

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

Simplifying
n = 14

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