3n+6=8n+3(10)

Solution for 3n+6=8n+3(10) equation:

Simplifying
3n + 6 = 8n + 3(10)

Reorder the terms:
6 + 3n = 8n + 3(10)

Multiply 3 * 10
6 + 3n = 8n + 30

Reorder the terms:
6 + 3n = 30 + 8n

Solving
6 + 3n = 30 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
6 + 3n + -8n = 30 + 8n + -8n

Combine like terms: 3n + -8n = -5n
6 + -5n = 30 + 8n + -8n

Combine like terms: 8n + -8n = 0
6 + -5n = 30 + 0
6 + -5n = 30

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

Combine like terms: 6 + -6 = 0
0 + -5n = 30 + -6
-5n = 30 + -6

Combine like terms: 30 + -6 = 24
-5n = 24

Divide each side by '-5'.
n = -4.8

Simplifying
n = -4.8