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

Solution for 4(n+5)=3(2n+1) equation:

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

Reorder the terms:
4(5 + n) = 3(2n + 1)
(5 * 4 + n * 4) = 3(2n + 1)
(20 + 4n) = 3(2n + 1)

Reorder the terms:
20 + 4n = 3(1 + 2n)
20 + 4n = (1 * 3 + 2n * 3)
20 + 4n = (3 + 6n)

Solving
20 + 4n = 3 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
20 + 4n + -6n = 3 + 6n + -6n

Combine like terms: 4n + -6n = -2n
20 + -2n = 3 + 6n + -6n

Combine like terms: 6n + -6n = 0
20 + -2n = 3 + 0
20 + -2n = 3

Add '-20' to each side of the equation.
20 + -20 + -2n = 3 + -20

Combine like terms: 20 + -20 = 0
0 + -2n = 3 + -20
-2n = 3 + -20

Combine like terms: 3 + -20 = -17
-2n = -17

Divide each side by '-2'.
n = 8.5

Simplifying
n = 8.5