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

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

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

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

Combine like terms: 2n + 3n = 5n
2 + 5n = 5(n + 1)

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

Add '-5n' to each side of the equation.
2 + 5n + -5n = 5 + 5n + -5n

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

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

Solving
2 = 5

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.