2(n+3)=4n+1

Solution for 2(n+3)=4n+1 equation:

Simplifying
2(n + 3) = 4n + 1

Reorder the terms:
2(3 + n) = 4n + 1
(3 * 2 + n * 2) = 4n + 1
(6 + 2n) = 4n + 1

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

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

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

Combine like terms: 4n + -4n = 0
6 + -2n = 1 + 0
6 + -2n = 1

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

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

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

Divide each side by '-2'.
n = 2.5

Simplifying
n = 2.5