Solve by Factoring 6(x-1)=6x-1

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

Step 1

Move all the expressions to the left side of the equation.

Subtract $6 x$ from both sides of the equation.

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

Add $1$ to both sides of the equation.

$6 (x - 1) - 6 x + 1 = 0$

Step 2

Simplify $6 (x - 1) - 6 x + 1$ .

Simplify each term.

Apply the distributive property.

$6 x + 6 \cdot - 1 - 6 x + 1 = 0$

Multiply $6$ by $- 1$ .

$6 x - 6 - 6 x + 1 = 0$

Combine the opposite terms in $6 x - 6 - 6 x + 1$ .

Subtract $6 x$ from $6 x$ .

$0 - 6 + 1 = 0$

Subtract $6$ from $0$ .

$- 6 + 1 = 0$

Add $- 6$ and $1$ .

$- 5 = 0$

Step 3

Since $- 5 \neq 0$ , there are no solutions.

No solution