3(n+1)=2n-5

Solution for 3(n+1)=2n-5 equation:

Simplifying
3(n + 1) = 2n + -5

Reorder the terms:
3(1 + n) = 2n + -5
(1 * 3 + n * 3) = 2n + -5
(3 + 3n) = 2n + -5

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

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

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

Combine like terms: 2n + -2n = 0
3 + 1n = -5 + 0
3 + 1n = -5

Add '-3' to each side of the equation.
3 + -3 + 1n = -5 + -3

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

Combine like terms: -5 + -3 = -8
1n = -8

Divide each side by '1'.
n = -8

Simplifying
n = -8