10n+6=8n-6

Solution for 10n+6=8n-6 equation:

Simplifying
10n + 6 = 8n + -6

Reorder the terms:
6 + 10n = 8n + -6

Reorder the terms:
6 + 10n = -6 + 8n

Solving
6 + 10n = -6 + 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 + 10n + -8n = -6 + 8n + -8n

Combine like terms: 10n + -8n = 2n
6 + 2n = -6 + 8n + -8n

Combine like terms: 8n + -8n = 0
6 + 2n = -6 + 0
6 + 2n = -6

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

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

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

Divide each side by '2'.
n = -6

Simplifying
n = -6