12(x-8)+24(x+1)=72

Solution for 12(x-8)+24(x+1)=72 equation:

Simplifying
12(x + -8) + 24(x + 1) = 72

Reorder the terms:
12(-8 + x) + 24(x + 1) = 72
(-8 * 12 + x * 12) + 24(x + 1) = 72
(-96 + 12x) + 24(x + 1) = 72

Reorder the terms:
-96 + 12x + 24(1 + x) = 72
-96 + 12x + (1 * 24 + x * 24) = 72
-96 + 12x + (24 + 24x) = 72

Reorder the terms:
-96 + 24 + 12x + 24x = 72

Combine like terms: -96 + 24 = -72
-72 + 12x + 24x = 72

Combine like terms: 12x + 24x = 36x
-72 + 36x = 72

Solving
-72 + 36x = 72

Solving for variable 'x'.

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

Add '72' to each side of the equation.
-72 + 72 + 36x = 72 + 72

Combine like terms: -72 + 72 = 0
0 + 36x = 72 + 72
36x = 72 + 72

Combine like terms: 72 + 72 = 144
36x = 144

Divide each side by '36'.
x = 4

Simplifying
x = 4