6(3x-20)=42

Solution for 6(3x-20)=42 equation:

Simplifying
6(3x + -20) = 42

Reorder the terms:
6(-20 + 3x) = 42
(-20 * 6 + 3x * 6) = 42
(-120 + 18x) = 42

Solving
-120 + 18x = 42

Solving for variable 'x'.

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

Add '120' to each side of the equation.
-120 + 120 + 18x = 42 + 120

Combine like terms: -120 + 120 = 0
0 + 18x = 42 + 120
18x = 42 + 120

Combine like terms: 42 + 120 = 162
18x = 162

Divide each side by '18'.
x = 9

Simplifying
x = 9