6(3x+12)=42

Solution for 6(3x+12)=42 equation:

Simplifying
6(3x + 12) = 42

Reorder the terms:
6(12 + 3x) = 42
(12 * 6 + 3x * 6) = 42
(72 + 18x) = 42

Solving
72 + 18x = 42

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 + 18x = 42 + -72

Combine like terms: 72 + -72 = 0
0 + 18x = 42 + -72
18x = 42 + -72

Combine like terms: 42 + -72 = -30
18x = -30

Divide each side by '18'.
x = -1.666666667

Simplifying
x = -1.666666667