6(1-6x)=6(x-6)

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

Simplifying
6(1 + -6x) = 6(x + -6)
(1 * 6 + -6x * 6) = 6(x + -6)
(6 + -36x) = 6(x + -6)

Reorder the terms:
6 + -36x = 6(-6 + x)
6 + -36x = (-6 * 6 + x * 6)
6 + -36x = (-36 + 6x)

Solving
6 + -36x = -36 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + -36x + -6x = -36 + 6x + -6x

Combine like terms: -36x + -6x = -42x
6 + -42x = -36 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -42x = -36 + 0
6 + -42x = -36

Add '-6' to each side of the equation.
6 + -6 + -42x = -36 + -6

Combine like terms: 6 + -6 = 0
0 + -42x = -36 + -6
-42x = -36 + -6

Combine like terms: -36 + -6 = -42
-42x = -42

Divide each side by '-42'.
x = 1

Simplifying
x = 1