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

Solution for 12(n-4)-3=3-(2n+3) equation:

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

Reorder the terms:
12(-4 + n) + -3 = 3 + -1(2n + 3)
(-4 * 12 + n * 12) + -3 = 3 + -1(2n + 3)
(-48 + 12n) + -3 = 3 + -1(2n + 3)

Reorder the terms:
-48 + -3 + 12n = 3 + -1(2n + 3)

Combine like terms: -48 + -3 = -51
-51 + 12n = 3 + -1(2n + 3)

Reorder the terms:
-51 + 12n = 3 + -1(3 + 2n)
-51 + 12n = 3 + (3 * -1 + 2n * -1)
-51 + 12n = 3 + (-3 + -2n)

Combine like terms: 3 + -3 = 0
-51 + 12n = 0 + -2n
-51 + 12n = -2n

Solving
-51 + 12n = -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.
-51 + 12n + 2n = -2n + 2n

Combine like terms: 12n + 2n = 14n
-51 + 14n = -2n + 2n

Combine like terms: -2n + 2n = 0
-51 + 14n = 0

Add '51' to each side of the equation.
-51 + 51 + 14n = 0 + 51

Combine like terms: -51 + 51 = 0
0 + 14n = 0 + 51
14n = 0 + 51

Combine like terms: 0 + 51 = 51
14n = 51

Divide each side by '14'.
n = 3.642857143

Simplifying
n = 3.642857143