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

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

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

Reorder the terms:
3(2 + 3n) = 2(n + 10)
(2 * 3 + 3n * 3) = 2(n + 10)
(6 + 9n) = 2(n + 10)

Reorder the terms:
6 + 9n = 2(10 + n)
6 + 9n = (10 * 2 + n * 2)
6 + 9n = (20 + 2n)

Solving
6 + 9n = 20 + 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.
6 + 9n + -2n = 20 + 2n + -2n

Combine like terms: 9n + -2n = 7n
6 + 7n = 20 + 2n + -2n

Combine like terms: 2n + -2n = 0
6 + 7n = 20 + 0
6 + 7n = 20

Add '-6' to each side of the equation.
6 + -6 + 7n = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 7n = 20 + -6
7n = 20 + -6

Combine like terms: 20 + -6 = 14
7n = 14

Divide each side by '7'.
n = 2

Simplifying
n = 2