6(x+24)=42

Solution for 6(x+24)=42 equation:

Simplifying
6(x + 24) = 42

Reorder the terms:
6(24 + x) = 42
(24 * 6 + x * 6) = 42
(144 + 6x) = 42

Solving
144 + 6x = 42

Solving for variable 'x'.

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

Add '-144' to each side of the equation.
144 + -144 + 6x = 42 + -144

Combine like terms: 144 + -144 = 0
0 + 6x = 42 + -144
6x = 42 + -144

Combine like terms: 42 + -144 = -102
6x = -102

Divide each side by '6'.
x = -17

Simplifying
x = -17