5(n+2)-8=2n

Solution for 5(n+2)-8=2n equation:

Simplifying
5(n + 2) + -8 = 2n

Reorder the terms:
5(2 + n) + -8 = 2n
(2 * 5 + n * 5) + -8 = 2n
(10 + 5n) + -8 = 2n

Reorder the terms:
10 + -8 + 5n = 2n

Combine like terms: 10 + -8 = 2
2 + 5n = 2n

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

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

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

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

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

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

Divide each side by '3'.
n = -0.6666666667

Simplifying
n = -0.6666666667