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

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

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

Reorder the terms:
5n + -1(-3 + 2n) = 2n + -4(n + 2)
5n + (-3 * -1 + 2n * -1) = 2n + -4(n + 2)
5n + (3 + -2n) = 2n + -4(n + 2)

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

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

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

Reorder the terms:
3 + 3n = -8 + 2n + -4n

Combine like terms: 2n + -4n = -2n
3 + 3n = -8 + -2n

Solving
3 + 3n = -8 + -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.
3 + 3n + 2n = -8 + -2n + 2n

Combine like terms: 3n + 2n = 5n
3 + 5n = -8 + -2n + 2n

Combine like terms: -2n + 2n = 0
3 + 5n = -8 + 0
3 + 5n = -8

Add '-3' to each side of the equation.
3 + -3 + 5n = -8 + -3

Combine like terms: 3 + -3 = 0
0 + 5n = -8 + -3
5n = -8 + -3

Combine like terms: -8 + -3 = -11
5n = -11

Divide each side by '5'.
n = -2.2

Simplifying
n = -2.2