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

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

Simplifying
42 + -2x = 2(-3 + 3x)
42 + -2x = (-3 * 2 + 3x * 2)
42 + -2x = (-6 + 6x)

Solving
42 + -2x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
42 + -2x + -6x = -6 + 6x + -6x

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

Combine like terms: 6x + -6x = 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