3n+1=n+3

Solution for 3n+1=n+3 equation:

Simplifying
3n + 1 = n + 3

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

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

Solving
1 + 3n = 3 + n

Solving for variable 'n'.

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

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

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

Combine like terms: n + -1n = 0
1 + 2n = 3 + 0
1 + 2n = 3

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

Combine like terms: 1 + -1 = 0
0 + 2n = 3 + -1
2n = 3 + -1

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

Divide each side by '2'.
n = 1

Simplifying
n = 1