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

Solution for 0.5(n-4)-3=3-(2n+3) equation:

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

Reorder the terms:
0.5(-4 + n) + -3 = 3 + -1(2n + 3)
(-4 * 0.5 + n * 0.5) + -3 = 3 + -1(2n + 3)
(-2 + 0.5n) + -3 = 3 + -1(2n + 3)

Reorder the terms:
-2 + -3 + 0.5n = 3 + -1(2n + 3)

Combine like terms: -2 + -3 = -5
-5 + 0.5n = 3 + -1(2n + 3)

Reorder the terms:
-5 + 0.5n = 3 + -1(3 + 2n)
-5 + 0.5n = 3 + (3 * -1 + 2n * -1)
-5 + 0.5n = 3 + (-3 + -2n)

Combine like terms: 3 + -3 = 0
-5 + 0.5n = 0 + -2n
-5 + 0.5n = -2n

Solving
-5 + 0.5n = -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.
-5 + 0.5n + 2n = -2n + 2n

Combine like terms: 0.5n + 2n = 2.5n
-5 + 2.5n = -2n + 2n

Combine like terms: -2n + 2n = 0
-5 + 2.5n = 0

Add '5' to each side of the equation.
-5 + 5 + 2.5n = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2.5n = 0 + 5
2.5n = 0 + 5

Combine like terms: 0 + 5 = 5
2.5n = 5

Divide each side by '2.5'.
n = 2

Simplifying
n = 2