5n+8(6+3n)=164

Solution for 5n+8(6+3n)=164 equation:

Simplifying
5n + 8(6 + 3n) = 164
5n + (6 * 8 + 3n * 8) = 164
5n + (48 + 24n) = 164

Reorder the terms:
48 + 5n + 24n = 164

Combine like terms: 5n + 24n = 29n
48 + 29n = 164

Solving
48 + 29n = 164

Solving for variable 'n'.

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

Add '-48' to each side of the equation.
48 + -48 + 29n = 164 + -48

Combine like terms: 48 + -48 = 0
0 + 29n = 164 + -48
29n = 164 + -48

Combine like terms: 164 + -48 = 116
29n = 116

Divide each side by '29'.
n = 4

Simplifying
n = 4