7n-14=5n+6

Solution for 7n-14=5n+6 equation:

Simplifying
7n + -14 = 5n + 6

Reorder the terms:
-14 + 7n = 5n + 6

Reorder the terms:
-14 + 7n = 6 + 5n

Solving
-14 + 7n = 6 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-14 + 7n + -5n = 6 + 5n + -5n

Combine like terms: 7n + -5n = 2n
-14 + 2n = 6 + 5n + -5n

Combine like terms: 5n + -5n = 0
-14 + 2n = 6 + 0
-14 + 2n = 6

Add '14' to each side of the equation.
-14 + 14 + 2n = 6 + 14

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

Combine like terms: 6 + 14 = 20
2n = 20

Divide each side by '2'.
n = 10

Simplifying
n = 10