12(x-4)+42=78

Solution for 12(x-4)+42=78 equation:

Simplifying
12(x + -4) + 42 = 78

Reorder the terms:
12(-4 + x) + 42 = 78
(-4 * 12 + x * 12) + 42 = 78
(-48 + 12x) + 42 = 78

Reorder the terms:
-48 + 42 + 12x = 78

Combine like terms: -48 + 42 = -6
-6 + 12x = 78

Solving
-6 + 12x = 78

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 12x = 78 + 6

Combine like terms: -6 + 6 = 0
0 + 12x = 78 + 6
12x = 78 + 6

Combine like terms: 78 + 6 = 84
12x = 84

Divide each side by '12'.
x = 7

Simplifying
x = 7