3x+3(3x-2)=42

Solution for 3x+3(3x-2)=42 equation:

Simplifying
3x + 3(3x + -2) = 42

Reorder the terms:
3x + 3(-2 + 3x) = 42
3x + (-2 * 3 + 3x * 3) = 42
3x + (-6 + 9x) = 42

Reorder the terms:
-6 + 3x + 9x = 42

Combine like terms: 3x + 9x = 12x
-6 + 12x = 42

Solving
-6 + 12x = 42

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 12x = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 12x = 42 + 6
12x = 42 + 6

Combine like terms: 42 + 6 = 48
12x = 48

Divide each side by '12'.
x = 4

Simplifying
x = 4