2(3x-4)+2=42

Solution for 2(3x-4)+2=42 equation:

Simplifying
2(3x + -4) + 2 = 42

Reorder the terms:
2(-4 + 3x) + 2 = 42
(-4 * 2 + 3x * 2) + 2 = 42
(-8 + 6x) + 2 = 42

Reorder the terms:
-8 + 2 + 6x = 42

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

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

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

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

Divide each side by '6'.
x = 8

Simplifying
x = 8