Solve Tx=x-1

$$T x = x - 1$$

Solve for T

$$T=\frac{x-1}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$xT=x-1$$

Divide both sides by x.

$$\frac{xT}{x}=\frac{x-1}{x}$$

Dividing by x undoes the multiplication by x.

$$T=\frac{x-1}{x}$$

Solve for x

$$x=-\frac{1}{T-1}$$

$$T\neq 1$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$Tx-x=-1$$

Combine all terms containing x.

$$\left(T-1\right)x=-1$$

Divide both sides by T-1.

$$\frac{\left(T-1\right)x}{T-1}=-\frac{1}{T-1}$$

Dividing by T-1 undoes the multiplication by T-1.

$$x=-\frac{1}{T-1}$$