3n-2(2n+8)=4(2n+5)

Solution for 3n-2(2n+8)=4(2n+5) equation:

Simplifying
3n + -2(2n + 8) = 4(2n + 5)

Reorder the terms:
3n + -2(8 + 2n) = 4(2n + 5)
3n + (8 * -2 + 2n * -2) = 4(2n + 5)
3n + (-16 + -4n) = 4(2n + 5)

Reorder the terms:
-16 + 3n + -4n = 4(2n + 5)

Combine like terms: 3n + -4n = -1n
-16 + -1n = 4(2n + 5)

Reorder the terms:
-16 + -1n = 4(5 + 2n)
-16 + -1n = (5 * 4 + 2n * 4)
-16 + -1n = (20 + 8n)

Solving
-16 + -1n = 20 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-16 + -1n + -8n = 20 + 8n + -8n

Combine like terms: -1n + -8n = -9n
-16 + -9n = 20 + 8n + -8n

Combine like terms: 8n + -8n = 0
-16 + -9n = 20 + 0
-16 + -9n = 20

Add '16' to each side of the equation.
-16 + 16 + -9n = 20 + 16

Combine like terms: -16 + 16 = 0
0 + -9n = 20 + 16
-9n = 20 + 16

Combine like terms: 20 + 16 = 36
-9n = 36

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

Simplifying
n = -4