5n+1=2n+3

Solution for 5n+1=2n+3 equation:

Simplifying
5n + 1 = 2n + 3

Reorder the terms:
1 + 5n = 2n + 3

Reorder the terms:
1 + 5n = 3 + 2n

Solving
1 + 5n = 3 + 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 + 5n + -2n = 3 + 2n + -2n

Combine like terms: 5n + -2n = 3n
1 + 3n = 3 + 2n + -2n

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

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

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

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

Divide each side by '3'.
n = 0.6666666667

Simplifying
n = 0.6666666667