4n+1=2n+6

Solution for 4n+1=2n+6 equation:

Simplifying
4n + 1 = 2n + 6

Reorder the terms:
1 + 4n = 2n + 6

Reorder the terms:
1 + 4n = 6 + 2n

Solving
1 + 4n = 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 + 4n + -2n = 6 + 2n + -2n

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

Combine like terms: 2n + -2n = 0
1 + 2n = 6 + 0
1 + 2n = 6

Add '-1' to each side of the equation.
1 + -1 + 2n = 6 + -1

Combine like terms: 1 + -1 = 0
0 + 2n = 6 + -1
2n = 6 + -1

Combine like terms: 6 + -1 = 5
2n = 5

Divide each side by '2'.
n = 2.5

Simplifying
n = 2.5