6(x-1)=x-1

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

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

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

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

Solving
-6 + 6x = -1 + 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.
-6 + 6x + -1x = -1 + x + -1x

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

Combine like terms: x + -1x = 0
-6 + 5x = -1 + 0
-6 + 5x = -1

Add '6' to each side of the equation.
-6 + 6 + 5x = -1 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = -1 + 6
5x = -1 + 6

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

Divide each side by '5'.
x = 1

Simplifying
x = 1