5n+7-1=6n+1

Solution for 5n+7-1=6n+1 equation:

Simplifying
5n + 7 + -1 = 6n + 1

Reorder the terms:
7 + -1 + 5n = 6n + 1

Combine like terms: 7 + -1 = 6
6 + 5n = 6n + 1

Reorder the terms:
6 + 5n = 1 + 6n

Solving
6 + 5n = 1 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
6 + 5n + -6n = 1 + 6n + -6n

Combine like terms: 5n + -6n = -1n
6 + -1n = 1 + 6n + -6n

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

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

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

Combine like terms: 1 + -6 = -5
-1n = -5

Divide each side by '-1'.
n = 5

Simplifying
n = 5