3(2n+1)=2(2n+3)+5

Solution for 3(2n+1)=2(2n+3)+5 equation:

Simplifying
3(2n + 1) = 2(2n + 3) + 5

Reorder the terms:
3(1 + 2n) = 2(2n + 3) + 5
(1 * 3 + 2n * 3) = 2(2n + 3) + 5
(3 + 6n) = 2(2n + 3) + 5

Reorder the terms:
3 + 6n = 2(3 + 2n) + 5
3 + 6n = (3 * 2 + 2n * 2) + 5
3 + 6n = (6 + 4n) + 5

Reorder the terms:
3 + 6n = 6 + 5 + 4n

Combine like terms: 6 + 5 = 11
3 + 6n = 11 + 4n

Solving
3 + 6n = 11 + 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.
3 + 6n + -4n = 11 + 4n + -4n

Combine like terms: 6n + -4n = 2n
3 + 2n = 11 + 4n + -4n

Combine like terms: 4n + -4n = 0
3 + 2n = 11 + 0
3 + 2n = 11

Add '-3' to each side of the equation.
3 + -3 + 2n = 11 + -3

Combine like terms: 3 + -3 = 0
0 + 2n = 11 + -3
2n = 11 + -3

Combine like terms: 11 + -3 = 8
2n = 8

Divide each side by '2'.
n = 4

Simplifying
n = 4