3n+6=4n+1

Solution for 3n+6=4n+1 equation:

Simplifying
3n + 6 = 4n + 1

Reorder the terms:
6 + 3n = 4n + 1

Reorder the terms:
6 + 3n = 1 + 4n

Solving
6 + 3n = 1 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
6 + 3n + -4n = 1 + 4n + -4n

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

Combine like terms: 4n + -4n = 0
6 + -1n = 1 + 0
6 + -1n = 1

Add '-6' to each side of the equation.
6 + -6 + -1n = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -1n = 1 + -6
-1n = 1 + -6

Combine like terms: 1 + -6 = -5
-1n = -5

Divide each side by '-1'.
n = 5

Simplifying
n = 5