2(n+1)+3(2n-1)=15

Solution for 2(n+1)+3(2n-1)=15 equation:

Simplifying
2(n + 1) + 3(2n + -1) = 15

Reorder the terms:
2(1 + n) + 3(2n + -1) = 15
(1 * 2 + n * 2) + 3(2n + -1) = 15
(2 + 2n) + 3(2n + -1) = 15

Reorder the terms:
2 + 2n + 3(-1 + 2n) = 15
2 + 2n + (-1 * 3 + 2n * 3) = 15
2 + 2n + (-3 + 6n) = 15

Reorder the terms:
2 + -3 + 2n + 6n = 15

Combine like terms: 2 + -3 = -1
-1 + 2n + 6n = 15

Combine like terms: 2n + 6n = 8n
-1 + 8n = 15

Solving
-1 + 8n = 15

Solving for variable 'n'.

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

Add '1' to each side of the equation.
-1 + 1 + 8n = 15 + 1

Combine like terms: -1 + 1 = 0
0 + 8n = 15 + 1
8n = 15 + 1

Combine like terms: 15 + 1 = 16
8n = 16

Divide each side by '8'.
n = 2

Simplifying
n = 2