2(1-6n)+1=3(1-5n)

Solution for 2(1-6n)+1=3(1-5n) equation:

Simplifying
2(1 + -6n) + 1 = 3(1 + -5n)
(1 * 2 + -6n * 2) + 1 = 3(1 + -5n)
(2 + -12n) + 1 = 3(1 + -5n)

Reorder the terms:
2 + 1 + -12n = 3(1 + -5n)

Combine like terms: 2 + 1 = 3
3 + -12n = 3(1 + -5n)
3 + -12n = (1 * 3 + -5n * 3)
3 + -12n = (3 + -15n)

Add '-3' to each side of the equation.
3 + -3 + -12n = 3 + -3 + -15n

Combine like terms: 3 + -3 = 0
0 + -12n = 3 + -3 + -15n
-12n = 3 + -3 + -15n

Combine like terms: 3 + -3 = 0
-12n = 0 + -15n
-12n = -15n

Solving
-12n = -15n

Solving for variable 'n'.

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

Add '15n' to each side of the equation.
-12n + 15n = -15n + 15n

Combine like terms: -12n + 15n = 3n
3n = -15n + 15n

Combine like terms: -15n + 15n = 0
3n = 0

Divide each side by '3'.
n = 0

Simplifying
n = 0