6(7x-6)=-78

Solution for 6(7x-6)=-78 equation:

Simplifying
6(7x + -6) = -78

Reorder the terms:
6(-6 + 7x) = -78
(-6 * 6 + 7x * 6) = -78
(-36 + 42x) = -78

Solving
-36 + 42x = -78

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 42x = -78 + 36

Combine like terms: -36 + 36 = 0
0 + 42x = -78 + 36
42x = -78 + 36

Combine like terms: -78 + 36 = -42
42x = -42

Divide each side by '42'.
x = -1

Simplifying
x = -1