6n+1=2n+3

Solution for 6n+1=2n+3 equation:

Simplifying
6n + 1 = 2n + 3

Reorder the terms:
1 + 6n = 2n + 3

Reorder the terms:
1 + 6n = 3 + 2n

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

Combine like terms: 6n + -2n = 4n
1 + 4n = 3 + 2n + -2n

Combine like terms: 2n + -2n = 0
1 + 4n = 3 + 0
1 + 4n = 3

Add '-1' to each side of the equation.
1 + -1 + 4n = 3 + -1

Combine like terms: 1 + -1 = 0
0 + 4n = 3 + -1
4n = 3 + -1

Combine like terms: 3 + -1 = 2
4n = 2

Divide each side by '4'.
n = 0.5

Simplifying
n = 0.5