4(1-6x)+2=-114

Solution for 4(1-6x)+2=-114 equation:

Simplifying
4(1 + -6x) + 2 = -114
(1 * 4 + -6x * 4) + 2 = -114
(4 + -24x) + 2 = -114

Reorder the terms:
4 + 2 + -24x = -114

Combine like terms: 4 + 2 = 6
6 + -24x = -114

Solving
6 + -24x = -114

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 + -24x = -114 + -6

Combine like terms: 6 + -6 = 0
0 + -24x = -114 + -6
-24x = -114 + -6

Combine like terms: -114 + -6 = -120
-24x = -120

Divide each side by '-24'.
x = 5

Simplifying
x = 5