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

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

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

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

Combine like terms: 4n + -2n = 2n
20 + 2n = 2n + -4(n + 5)

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

Reorder the terms:
20 + 2n = -20 + 2n + -4n

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

Solving
20 + 2n = -20 + -2n

Solving for variable 'n'.

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

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

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

Combine like terms: -2n + 2n = 0
20 + 4n = -20 + 0
20 + 4n = -20

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

Combine like terms: 20 + -20 = 0
0 + 4n = -20 + -20
4n = -20 + -20

Combine like terms: -20 + -20 = -40
4n = -40

Divide each side by '4'.
n = -10

Simplifying
n = -10