2n+37=5(1+7n)

Solution for 2n+37=5(1+7n) equation:

Simplifying
2n + 37 = 5(1 + 7n)

Reorder the terms:
37 + 2n = 5(1 + 7n)
37 + 2n = (1 * 5 + 7n * 5)
37 + 2n = (5 + 35n)

Solving
37 + 2n = 5 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
37 + 2n + -35n = 5 + 35n + -35n

Combine like terms: 2n + -35n = -33n
37 + -33n = 5 + 35n + -35n

Combine like terms: 35n + -35n = 0
37 + -33n = 5 + 0
37 + -33n = 5

Add '-37' to each side of the equation.
37 + -37 + -33n = 5 + -37

Combine like terms: 37 + -37 = 0
0 + -33n = 5 + -37
-33n = 5 + -37

Combine like terms: 5 + -37 = -32
-33n = -32

Divide each side by '-33'.
n = 0.9696969697

Simplifying
n = 0.9696969697