5(n+9)-(2+2n)=2n

Solution for 5(n+9)-(2+2n)=2n equation:

Simplifying
5(n + 9) + -1(2 + 2n) = 2n

Reorder the terms:
5(9 + n) + -1(2 + 2n) = 2n
(9 * 5 + n * 5) + -1(2 + 2n) = 2n
(45 + 5n) + -1(2 + 2n) = 2n
45 + 5n + (2 * -1 + 2n * -1) = 2n
45 + 5n + (-2 + -2n) = 2n

Reorder the terms:
45 + -2 + 5n + -2n = 2n

Combine like terms: 45 + -2 = 43
43 + 5n + -2n = 2n

Combine like terms: 5n + -2n = 3n
43 + 3n = 2n

Solving
43 + 3n = 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.
43 + 3n + -2n = 2n + -2n

Combine like terms: 3n + -2n = 1n
43 + 1n = 2n + -2n

Combine like terms: 2n + -2n = 0
43 + 1n = 0

Add '-43' to each side of the equation.
43 + -43 + 1n = 0 + -43

Combine like terms: 43 + -43 = 0
0 + 1n = 0 + -43
1n = 0 + -43

Combine like terms: 0 + -43 = -43
1n = -43

Divide each side by '1'.
n = -43

Simplifying
n = -43