42=3(4x+2)

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

Simplifying
42 = 3(4x + 2)

Reorder the terms:
42 = 3(2 + 4x)
42 = (2 * 3 + 4x * 3)
42 = (6 + 12x)

Solving
42 = 6 + 12x

Solving for variable 'x'.

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

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

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

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

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

Combine like terms: 6 + -42 = -36
-12x = -36

Divide each side by '-12'.
x = 3

Simplifying
x = 3