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

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

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

Reorder the terms:
3(4 + n) = 5(n + 1)
(4 * 3 + n * 3) = 5(n + 1)
(12 + 3n) = 5(n + 1)

Reorder the terms:
12 + 3n = 5(1 + n)
12 + 3n = (1 * 5 + n * 5)
12 + 3n = (5 + 5n)

Solving
12 + 3n = 5 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
12 + 3n + -5n = 5 + 5n + -5n

Combine like terms: 3n + -5n = -2n
12 + -2n = 5 + 5n + -5n

Combine like terms: 5n + -5n = 0
12 + -2n = 5 + 0
12 + -2n = 5

Add '-12' to each side of the equation.
12 + -12 + -2n = 5 + -12

Combine like terms: 12 + -12 = 0
0 + -2n = 5 + -12
-2n = 5 + -12

Combine like terms: 5 + -12 = -7
-2n = -7

Divide each side by '-2'.
n = 3.5

Simplifying
n = 3.5