1+2(3n-1)=5

Solution for 1+2(3n-1)=5 equation:

Simplifying
1 + 2(3n + -1) = 5

Reorder the terms:
1 + 2(-1 + 3n) = 5
1 + (-1 * 2 + 3n * 2) = 5
1 + (-2 + 6n) = 5

Combine like terms: 1 + -2 = -1
-1 + 6n = 5

Solving
-1 + 6n = 5

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 = 5 + 1

Combine like terms: -1 + 1 = 0
0 + 6n = 5 + 1
6n = 5 + 1

Combine like terms: 5 + 1 = 6
6n = 6

Divide each side by '6'.
n = 1

Simplifying
n = 1