6(n+7)+8=5n

Solution for 6(n+7)+8=5n equation:

Simplifying
6(n + 7) + 8 = 5n

Reorder the terms:
6(7 + n) + 8 = 5n
(7 * 6 + n * 6) + 8 = 5n
(42 + 6n) + 8 = 5n

Reorder the terms:
42 + 8 + 6n = 5n

Combine like terms: 42 + 8 = 50
50 + 6n = 5n

Solving
50 + 6n = 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.
50 + 6n + -5n = 5n + -5n

Combine like terms: 6n + -5n = 1n
50 + 1n = 5n + -5n

Combine like terms: 5n + -5n = 0
50 + 1n = 0

Add '-50' to each side of the equation.
50 + -50 + 1n = 0 + -50

Combine like terms: 50 + -50 = 0
0 + 1n = 0 + -50
1n = 0 + -50

Combine like terms: 0 + -50 = -50
1n = -50

Divide each side by '1'.
n = -50

Simplifying
n = -50