3n-1=2(n-3)

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

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

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

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

Solving
-1 + 3n = -6 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-1 + 3n + -2n = -6 + 2n + -2n

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

Combine like terms: 2n + -2n = 0
-1 + 1n = -6 + 0
-1 + 1n = -6

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

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

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

Divide each side by '1'.
n = -5

Simplifying
n = -5