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

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

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

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

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

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

Solving
42 = -6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
42 + -8x = -6 + 8x + -8x

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

Add '-42' to each side of the equation.
42 + -42 + -8x = -6 + -42

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

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

Divide each side by '-8'.
x = 6

Simplifying
x = 6