42=6-4(-2x+3)

Solution for 42=6-4(-2x+3) equation:

Simplifying
42 = 6 + -4(-2x + 3)

Reorder the terms:
42 = 6 + -4(3 + -2x)
42 = 6 + (3 * -4 + -2x * -4)
42 = 6 + (-12 + 8x)

Combine like terms: 6 + -12 = -6
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