Solve for x (x-1)-(2x-1)=9-x

$(x - 1) - (2 x - 1) = 9 - x$

Simplify $x - 1 - (2 x - 1)$ .

Simplify each term.

Apply the distributive property.

$x - 1 - (2 x) - - 1 = 9 - x$

Multiply $2$ by $- 1$ .

$x - 1 - 2 x - - 1 = 9 - x$

Multiply $- 1$ by $- 1$ .

$x - 1 - 2 x + 1 = 9 - x$

Simplify by adding terms.

Combine the opposite terms in $x - 1 - 2 x + 1$ .

Add $- 1$ and $1$ .

$x - 2 x + 0 = 9 - x$

Add $x - 2 x$ and $0$ .

$x - 2 x = 9 - x$

Subtract $2 x$ from $x$ .

$- x = 9 - x$

Move all terms containing $x$ to the left side of the equation.

Add $x$ to both sides of the equation.

$- x + x = 9$

Add $- x$ and $x$ .

$0 = 9$

Since $0 \neq 9$ , there are no solutions.

No solution