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

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

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

Reorder the terms:
5(-4 + n) + -3 = 3 + -1(2n + 3)
(-4 * 5 + n * 5) + -3 = 3 + -1(2n + 3)
(-20 + 5n) + -3 = 3 + -1(2n + 3)

Reorder the terms:
-20 + -3 + 5n = 3 + -1(2n + 3)

Combine like terms: -20 + -3 = -23
-23 + 5n = 3 + -1(2n + 3)

Reorder the terms:
-23 + 5n = 3 + -1(3 + 2n)
-23 + 5n = 3 + (3 * -1 + 2n * -1)
-23 + 5n = 3 + (-3 + -2n)

Combine like terms: 3 + -3 = 0
-23 + 5n = 0 + -2n
-23 + 5n = -2n

Solving
-23 + 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.
-23 + 5n + 2n = -2n + 2n

Combine like terms: 5n + 2n = 7n
-23 + 7n = -2n + 2n

Combine like terms: -2n + 2n = 0
-23 + 7n = 0

Add '23' to each side of the equation.
-23 + 23 + 7n = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 7n = 0 + 23
7n = 0 + 23

Combine like terms: 0 + 23 = 23
7n = 23

Divide each side by '7'.
n = 3.285714286

Simplifying
n = 3.285714286