2n-1=3n-3

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

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

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

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

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

Solving for variable 'n'.

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

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

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

Combine like terms: 3n + -3n = 0
-1 + -1n = -3 + 0
-1 + -1n = -3

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

Combine like terms: -1 + 1 = 0
0 + -1n = -3 + 1
-1n = -3 + 1

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

Divide each side by '-1'.
n = 2

Simplifying
n = 2