2n+3(n-1)=37

Solution for 2n+3(n-1)=37 equation:

Simplifying
2n + 3(n + -1) = 37

Reorder the terms:
2n + 3(-1 + n) = 37
2n + (-1 * 3 + n * 3) = 37
2n + (-3 + 3n) = 37

Reorder the terms:
-3 + 2n + 3n = 37

Combine like terms: 2n + 3n = 5n
-3 + 5n = 37

Solving
-3 + 5n = 37

Solving for variable 'n'.

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

Add '3' to each side of the equation.
-3 + 3 + 5n = 37 + 3

Combine like terms: -3 + 3 = 0
0 + 5n = 37 + 3
5n = 37 + 3

Combine like terms: 37 + 3 = 40
5n = 40

Divide each side by '5'.
n = 8

Simplifying
n = 8