n+37=5(n+1)

Solution for n+37=5(n+1) equation:

Simplifying
n + 37 = 5(n + 1)

Reorder the terms:
37 + n = 5(n + 1)

Reorder the terms:
37 + n = 5(1 + n)
37 + n = (1 * 5 + n * 5)
37 + n = (5 + 5n)

Solving
37 + n = 5 + 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.
37 + n + -5n = 5 + 5n + -5n

Combine like terms: n + -5n = -4n
37 + -4n = 5 + 5n + -5n

Combine like terms: 5n + -5n = 0
37 + -4n = 5 + 0
37 + -4n = 5

Add '-37' to each side of the equation.
37 + -37 + -4n = 5 + -37

Combine like terms: 37 + -37 = 0
0 + -4n = 5 + -37
-4n = 5 + -37

Combine like terms: 5 + -37 = -32
-4n = -32

Divide each side by '-4'.
n = 8

Simplifying
n = 8