3n+1=2n+6

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

Simplifying
3n + 1 = 2n + 6

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

Reorder the terms:
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