13-(2n+2)=2(n+2)+3n

Solution for 13-(2n+2)=2(n+2)+3n equation:

Simplifying
13 + -1(2n + 2) = 2(n + 2) + 3n

Reorder the terms:
13 + -1(2 + 2n) = 2(n + 2) + 3n
13 + (2 * -1 + 2n * -1) = 2(n + 2) + 3n
13 + (-2 + -2n) = 2(n + 2) + 3n

Combine like terms: 13 + -2 = 11
11 + -2n = 2(n + 2) + 3n

Reorder the terms:
11 + -2n = 2(2 + n) + 3n
11 + -2n = (2 * 2 + n * 2) + 3n
11 + -2n = (4 + 2n) + 3n

Combine like terms: 2n + 3n = 5n
11 + -2n = 4 + 5n

Solving
11 + -2n = 4 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
11 + -2n + -5n = 4 + 5n + -5n

Combine like terms: -2n + -5n = -7n
11 + -7n = 4 + 5n + -5n

Combine like terms: 5n + -5n = 0
11 + -7n = 4 + 0
11 + -7n = 4

Add '-11' to each side of the equation.
11 + -11 + -7n = 4 + -11

Combine like terms: 11 + -11 = 0
0 + -7n = 4 + -11
-7n = 4 + -11

Combine like terms: 4 + -11 = -7
-7n = -7

Divide each side by '-7'.
n = 1

Simplifying
n = 1