Solve for x x-3=2x-3-x

$x - 3 = 2 x - 3 - x$

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$2 x - 3 - x = x - 3$

Subtract $x$ from $2 x$ .

$x - 3 = x - 3$

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

Subtract $x$ from both sides of the equation.

$x - 3 - x = - 3$

Combine the opposite terms in $x - 3 - x$ .

Subtract $x$ from $x$ .

$0 - 3 = - 3$

Subtract $3$ from $0$ .

$- 3 = - 3$

Since $- 3 = - 3$ , the equation will always be true for any value of $x$ .

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$