12(3+3+x)=5(2x+8)

Solution for 12(3+3+x)=5(2x+8) equation:

Simplifying
12(3 + 3 + x) = 5(2x + 8)

Combine like terms: 3 + 3 = 6
12(6 + x) = 5(2x + 8)
(6 * 12 + x * 12) = 5(2x + 8)
(72 + 12x) = 5(2x + 8)

Reorder the terms:
72 + 12x = 5(8 + 2x)
72 + 12x = (8 * 5 + 2x * 5)
72 + 12x = (40 + 10x)

Solving
72 + 12x = 40 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
72 + 12x + -10x = 40 + 10x + -10x

Combine like terms: 12x + -10x = 2x
72 + 2x = 40 + 10x + -10x

Combine like terms: 10x + -10x = 0
72 + 2x = 40 + 0
72 + 2x = 40

Add '-72' to each side of the equation.
72 + -72 + 2x = 40 + -72

Combine like terms: 72 + -72 = 0
0 + 2x = 40 + -72
2x = 40 + -72

Combine like terms: 40 + -72 = -32
2x = -32

Divide each side by '2'.
x = -16

Simplifying
x = -16