15-(n-13)=3(n+5)

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Solution for 15-(n-13)=3(n+5) equation: 


Simplifying
15 + -1(n + -13) = 3(n + 5)

Reorder the terms:
15 + -1(-13 + n) = 3(n + 5)
15 + (-13 * -1 + n * -1) = 3(n + 5)
15 + (13 + -1n) = 3(n + 5)

Combine like terms: 15 + 13 = 28
28 + -1n = 3(n + 5)

Reorder the terms:
28 + -1n = 3(5 + n)
28 + -1n = (5 * 3 + n * 3)
28 + -1n = (15 + 3n)

Solving
28 + -1n = 15 + 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.
28 + -1n + -3n = 15 + 3n + -3n

Combine like terms: -1n + -3n = -4n
28 + -4n = 15 + 3n + -3n

Combine like terms: 3n + -3n = 0
28 + -4n = 15 + 0
28 + -4n = 15

Add '-28' to each side of the equation.
28 + -28 + -4n = 15 + -28

Combine like terms: 28 + -28 = 0
0 + -4n = 15 + -28
-4n = 15 + -28

Combine like terms: 15 + -28 = -13
-4n = -13

Divide each side by '-4'.
n = 3.25

Simplifying
n = 3.25

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