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

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

Simplifying
5 + -1(4 + -1n) = 3(n + 2)
5 + (4 * -1 + -1n * -1) = 3(n + 2)
5 + (-4 + 1n) = 3(n + 2)

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

Reorder the terms:
1 + 1n = 3(2 + n)
1 + 1n = (2 * 3 + n * 3)
1 + 1n = (6 + 3n)

Solving
1 + 1n = 6 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
1 + 1n + -3n = 6 + 3n + -3n

Combine like terms: 1n + -3n = -2n
1 + -2n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
1 + -2n = 6 + 0
1 + -2n = 6

Add '-1' to each side of the equation.
1 + -1 + -2n = 6 + -1

Combine like terms: 1 + -1 = 0
0 + -2n = 6 + -1
-2n = 6 + -1

Combine like terms: 6 + -1 = 5
-2n = 5

Divide each side by '-2'.
n = -2.5

Simplifying
n = -2.5