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

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

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

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

Reorder the terms:
-6 + 2x + 6x = 42

Combine like terms: 2x + 6x = 8x
-6 + 8x = 42

Solving
-6 + 8x = 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 + 8x = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 42 + 6
8x = 42 + 6

Combine like terms: 42 + 6 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6