5-2(3+7n)=5n+37

Solution for 5-2(3+7n)=5n+37 equation:

Simplifying
5 + -2(3 + 7n) = 5n + 37
5 + (3 * -2 + 7n * -2) = 5n + 37
5 + (-6 + -14n) = 5n + 37

Combine like terms: 5 + -6 = -1
-1 + -14n = 5n + 37

Reorder the terms:
-1 + -14n = 37 + 5n

Solving
-1 + -14n = 37 + 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.
-1 + -14n + -5n = 37 + 5n + -5n

Combine like terms: -14n + -5n = -19n
-1 + -19n = 37 + 5n + -5n

Combine like terms: 5n + -5n = 0
-1 + -19n = 37 + 0
-1 + -19n = 37

Add '1' to each side of the equation.
-1 + 1 + -19n = 37 + 1

Combine like terms: -1 + 1 = 0
0 + -19n = 37 + 1
-19n = 37 + 1

Combine like terms: 37 + 1 = 38
-19n = 38

Divide each side by '-19'.
n = -2

Simplifying
n = -2