6(x-1)=x-6

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

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

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

Reorder the terms:
-6 + 6x = -6 + x

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

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

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

Solving
6x = x

Solving for variable 'x'.

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

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

Combine like terms: 6x + -1x = 5x
5x = x + -1x

Combine like terms: x + -1x = 0
5x = 0

Divide each side by '5'.
x = 0

Simplifying
x = 0