6(1-3x)-3(x-6)=12

Solution for 6(1-3x)-3(x-6)=12 equation:

Simplifying
6(1 + -3x) + -3(x + -6) = 12
(1 * 6 + -3x * 6) + -3(x + -6) = 12
(6 + -18x) + -3(x + -6) = 12

Reorder the terms:
6 + -18x + -3(-6 + x) = 12
6 + -18x + (-6 * -3 + x * -3) = 12
6 + -18x + (18 + -3x) = 12

Reorder the terms:
6 + 18 + -18x + -3x = 12

Combine like terms: 6 + 18 = 24
24 + -18x + -3x = 12

Combine like terms: -18x + -3x = -21x
24 + -21x = 12

Solving
24 + -21x = 12

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + -21x = 12 + -24

Combine like terms: 24 + -24 = 0
0 + -21x = 12 + -24
-21x = 12 + -24

Combine like terms: 12 + -24 = -12
-21x = -12

Divide each side by '-21'.
x = 0.5714285714

Simplifying
x = 0.5714285714