-3(-6+6)+6(4x-3)=-78

Solution for -3(-6+6)+6(4x-3)=-78 equation:

Simplifying
-3(-6 + 6) + 6(4x + -3) = -78

Combine like terms: -6 + 6 = 0
-3(0) + 6(4x + -3) = -78

Multiply -3 * 0
0 + 6(4x + -3) = -78

Anything times zero is zero.
0 + 6(4x + -3) = -78

Reorder the terms:
0 + 6(-3 + 4x) = -78
0 + (-3 * 6 + 4x * 6) = -78
0 + (-18 + 24x) = -78

Combine like terms: 0 + -18 = -18
-18 + 24x = -78

Solving
-18 + 24x = -78

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 24x = -78 + 18

Combine like terms: -18 + 18 = 0
0 + 24x = -78 + 18
24x = -78 + 18

Combine like terms: -78 + 18 = -60
24x = -60

Divide each side by '24'.
x = -2.5

Simplifying
x = -2.5