5n+6=3(2n+10)

Solution for 5n+6=3(2n+10) equation:

Simplifying
5n + 6 = 3(2n + 10)

Reorder the terms:
6 + 5n = 3(2n + 10)

Reorder the terms:
6 + 5n = 3(10 + 2n)
6 + 5n = (10 * 3 + 2n * 3)
6 + 5n = (30 + 6n)

Solving
6 + 5n = 30 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
6 + 5n + -6n = 30 + 6n + -6n

Combine like terms: 5n + -6n = -1n
6 + -1n = 30 + 6n + -6n

Combine like terms: 6n + -6n = 0
6 + -1n = 30 + 0
6 + -1n = 30

Add '-6' to each side of the equation.
6 + -6 + -1n = 30 + -6

Combine like terms: 6 + -6 = 0
0 + -1n = 30 + -6
-1n = 30 + -6

Combine like terms: 30 + -6 = 24
-1n = 24

Divide each side by '-1'.
n = -24

Simplifying
n = -24