42=-7(-3x+6)

Solution for 42=-7(-3x+6) equation:

Simplifying
42 = -7(-3x + 6)

Reorder the terms:
42 = -7(6 + -3x)
42 = (6 * -7 + -3x * -7)
42 = (-42 + 21x)

Solving
42 = -42 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
42 + -21x = -42 + 21x + -21x

Combine like terms: 21x + -21x = 0
42 + -21x = -42 + 0
42 + -21x = -42

Add '-42' to each side of the equation.
42 + -42 + -21x = -42 + -42

Combine like terms: 42 + -42 = 0
0 + -21x = -42 + -42
-21x = -42 + -42

Combine like terms: -42 + -42 = -84
-21x = -84

Divide each side by '-21'.
x = 4

Simplifying
x = 4