3n+2=2(n-3)

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

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

Reorder the terms:
2 + 3n = 2(n + -3)

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

Solving
2 + 3n = -6 + 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 + 3n + -2n = -6 + 2n + -2n

Combine like terms: 3n + -2n = 1n
2 + 1n = -6 + 2n + -2n

Combine like terms: 2n + -2n = 0
2 + 1n = -6 + 0
2 + 1n = -6

Add '-2' to each side of the equation.
2 + -2 + 1n = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 1n = -6 + -2
1n = -6 + -2

Combine like terms: -6 + -2 = -8
1n = -8

Divide each side by '1'.
n = -8

Simplifying
n = -8