2+3(2n-1)=41

Solution for 2+3(2n-1)=41 equation:

Simplifying
2 + 3(2n + -1) = 41

Reorder the terms:
2 + 3(-1 + 2n) = 41
2 + (-1 * 3 + 2n * 3) = 41
2 + (-3 + 6n) = 41

Combine like terms: 2 + -3 = -1
-1 + 6n = 41

Solving
-1 + 6n = 41

Solving for variable 'n'.

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

Add '1' to each side of the equation.
-1 + 1 + 6n = 41 + 1

Combine like terms: -1 + 1 = 0
0 + 6n = 41 + 1
6n = 41 + 1

Combine like terms: 41 + 1 = 42
6n = 42

Divide each side by '6'.
n = 7

Simplifying
n = 7