3n+15=2(n+2)+2n-4

Solution for 3n+15=2(n+2)+2n-4 equation:

Simplifying
3n + 15 = 2(n + 2) + 2n + -4

Reorder the terms:
15 + 3n = 2(n + 2) + 2n + -4

Reorder the terms:
15 + 3n = 2(2 + n) + 2n + -4
15 + 3n = (2 * 2 + n * 2) + 2n + -4
15 + 3n = (4 + 2n) + 2n + -4

Reorder the terms:
15 + 3n = 4 + -4 + 2n + 2n

Combine like terms: 4 + -4 = 0
15 + 3n = 0 + 2n + 2n
15 + 3n = 2n + 2n

Combine like terms: 2n + 2n = 4n
15 + 3n = 4n

Solving
15 + 3n = 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
15 + 3n + -4n = 4n + -4n

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

Combine like terms: 4n + -4n = 0
15 + -1n = 0

Add '-15' to each side of the equation.
15 + -15 + -1n = 0 + -15

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

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

Divide each side by '-1'.
n = 15

Simplifying
n = 15