4(2n+1)-5n=5

Solution for 4(2n+1)-5n=5 equation:

Simplifying
4(2n + 1) + -5n = 5

Reorder the terms:
4(1 + 2n) + -5n = 5
(1 * 4 + 2n * 4) + -5n = 5
(4 + 8n) + -5n = 5

Combine like terms: 8n + -5n = 3n
4 + 3n = 5

Solving
4 + 3n = 5

Solving for variable 'n'.

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

Add '-4' to each side of the equation.
4 + -4 + 3n = 5 + -4

Combine like terms: 4 + -4 = 0
0 + 3n = 5 + -4
3n = 5 + -4

Combine like terms: 5 + -4 = 1
3n = 1

Divide each side by '3'.
n = 0.3333333333

Simplifying
n = 0.3333333333