3(n+1)=5n

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

Simplifying
3(n + 1) = 5n

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

Solving
3 + 3n = 5n

Solving for variable 'n'.

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

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

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

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

Add '-3' to each side of the equation.
3 + -3 + -2n = 0 + -3

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

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

Divide each side by '-2'.
n = 1.5

Simplifying
n = 1.5