3n+6-2n=2(n-7)

Solution for 3n+6-2n=2(n-7) equation:

Simplifying
3n + 6 + -2n = 2(n + -7)

Reorder the terms:
6 + 3n + -2n = 2(n + -7)

Combine like terms: 3n + -2n = 1n
6 + 1n = 2(n + -7)

Reorder the terms:
6 + 1n = 2(-7 + n)
6 + 1n = (-7 * 2 + n * 2)
6 + 1n = (-14 + 2n)

Solving
6 + 1n = -14 + 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 + 1n + -2n = -14 + 2n + -2n

Combine like terms: 1n + -2n = -1n
6 + -1n = -14 + 2n + -2n

Combine like terms: 2n + -2n = 0
6 + -1n = -14 + 0
6 + -1n = -14

Add '-6' to each side of the equation.
6 + -6 + -1n = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -1n = -14 + -6
-1n = -14 + -6

Combine like terms: -14 + -6 = -20
-1n = -20

Divide each side by '-1'.
n = 20

Simplifying
n = 20