-6(1-2x)=-x+33

Solution for -6(1-2x)=-x+33 equation:

Simplifying
-6(1 + -2x) = -1x + 33
(1 * -6 + -2x * -6) = -1x + 33
(-6 + 12x) = -1x + 33

Reorder the terms:
-6 + 12x = 33 + -1x

Solving
-6 + 12x = 33 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 12x + x = 33 + -1x + x

Combine like terms: 12x + x = 13x
-6 + 13x = 33 + -1x + x

Combine like terms: -1x + x = 0
-6 + 13x = 33 + 0
-6 + 13x = 33

Add '6' to each side of the equation.
-6 + 6 + 13x = 33 + 6

Combine like terms: -6 + 6 = 0
0 + 13x = 33 + 6
13x = 33 + 6

Combine like terms: 33 + 6 = 39
13x = 39

Divide each side by '13'.
x = 3

Simplifying
x = 3