37-5n=-(n-5)

Solution for 37-5n=-(n-5) equation:

Simplifying
37 + -5n = -1(n + -5)

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

Solving
37 + -5n = 5 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
37 + -5n + n = 5 + -1n + n

Combine like terms: -5n + n = -4n
37 + -4n = 5 + -1n + n

Combine like terms: -1n + n = 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