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

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


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

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

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

Reorder the terms:
15 + n = -15 + 3n + -1n

Combine like terms: 3n + -1n = 2n
15 + n = -15 + 2n

Solving
15 + n = -15 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
15 + n + -2n = -15 + 2n + -2n

Combine like terms: n + -2n = -1n
15 + -1n = -15 + 2n + -2n

Combine like terms: 2n + -2n = 0
15 + -1n = -15 + 0
15 + -1n = -15

Add '-15' to each side of the equation.
15 + -15 + -1n = -15 + -15

Combine like terms: 15 + -15 = 0
0 + -1n = -15 + -15
-1n = -15 + -15

Combine like terms: -15 + -15 = -30
-1n = -30

Divide each side by '-1'.
n = 30

Simplifying
n = 30

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