2(n+6)+3(2n-4)=n+7

Solution for 2(n+6)+3(2n-4)=n+7 equation:

Simplifying
2(n + 6) + 3(2n + -4) = n + 7

Reorder the terms:
2(6 + n) + 3(2n + -4) = n + 7
(6 * 2 + n * 2) + 3(2n + -4) = n + 7
(12 + 2n) + 3(2n + -4) = n + 7

Reorder the terms:
12 + 2n + 3(-4 + 2n) = n + 7
12 + 2n + (-4 * 3 + 2n * 3) = n + 7
12 + 2n + (-12 + 6n) = n + 7

Reorder the terms:
12 + -12 + 2n + 6n = n + 7

Combine like terms: 12 + -12 = 0
0 + 2n + 6n = n + 7
2n + 6n = n + 7

Combine like terms: 2n + 6n = 8n
8n = n + 7

Reorder the terms:
8n = 7 + n

Solving
8n = 7 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
8n + -1n = 7 + n + -1n

Combine like terms: 8n + -1n = 7n
7n = 7 + n + -1n

Combine like terms: n + -1n = 0
7n = 7 + 0
7n = 7

Divide each side by '7'.
n = 1

Simplifying
n = 1