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

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

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

Reorder the terms:
5(3 + n) = 3(1 + -1n + -1)
(3 * 5 + n * 5) = 3(1 + -1n + -1)
(15 + 5n) = 3(1 + -1n + -1)

Reorder the terms:
15 + 5n = 3(1 + -1 + -1n)

Combine like terms: 1 + -1 = 0
15 + 5n = 3(0 + -1n)
15 + 5n = 3(-1n)

Remove parenthesis around (-1n)
15 + 5n = 3 * -1n

Multiply 3 * -1
15 + 5n = -3n

Solving
15 + 5n = -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
15 + 5n + 3n = -3n + 3n

Combine like terms: 5n + 3n = 8n
15 + 8n = -3n + 3n

Combine like terms: -3n + 3n = 0
15 + 8n = 0

Add '-15' to each side of the equation.
15 + -15 + 8n = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 8n = 0 + -15
8n = 0 + -15

Combine like terms: 0 + -15 = -15
8n = -15

Divide each side by '8'.
n = -1.875

Simplifying
n = -1.875