-6(7x-7)=42x-42

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

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

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

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

Solving
42 + -42x = -42 + 42x

Solving for variable 'x'.

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

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

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

Combine like terms: 42x + -42x = 0
42 + -84x = -42 + 0
42 + -84x = -42

Add '-42' to each side of the equation.
42 + -42 + -84x = -42 + -42

Combine like terms: 42 + -42 = 0
0 + -84x = -42 + -42
-84x = -42 + -42

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

Divide each side by '-84'.
x = 1

Simplifying
x = 1