5n+8(n+6)=2(2n+6)

Solution for 5n+8(n+6)=2(2n+6) equation:

Simplifying
5n + 8(n + 6) = 2(2n + 6)

Reorder the terms:
5n + 8(6 + n) = 2(2n + 6)
5n + (6 * 8 + n * 8) = 2(2n + 6)
5n + (48 + 8n) = 2(2n + 6)

Reorder the terms:
48 + 5n + 8n = 2(2n + 6)

Combine like terms: 5n + 8n = 13n
48 + 13n = 2(2n + 6)

Reorder the terms:
48 + 13n = 2(6 + 2n)
48 + 13n = (6 * 2 + 2n * 2)
48 + 13n = (12 + 4n)

Solving
48 + 13n = 12 + 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.
48 + 13n + -4n = 12 + 4n + -4n

Combine like terms: 13n + -4n = 9n
48 + 9n = 12 + 4n + -4n

Combine like terms: 4n + -4n = 0
48 + 9n = 12 + 0
48 + 9n = 12

Add '-48' to each side of the equation.
48 + -48 + 9n = 12 + -48

Combine like terms: 48 + -48 = 0
0 + 9n = 12 + -48
9n = 12 + -48

Combine like terms: 12 + -48 = -36
9n = -36

Divide each side by '9'.
n = -4

Simplifying
n = -4