-6(4x-1)=102

Solution for -6(4x-1)=102 equation:

Simplifying
-6(4x + -1) = 102

Reorder the terms:
-6(-1 + 4x) = 102
(-1 * -6 + 4x * -6) = 102
(6 + -24x) = 102

Solving
6 + -24x = 102

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 = 102 + -6

Combine like terms: 6 + -6 = 0
0 + -24x = 102 + -6
-24x = 102 + -6

Combine like terms: 102 + -6 = 96
-24x = 96

Divide each side by '-24'.
x = -4

Simplifying
x = -4