Solve x=t-u/v-w

$$x= \frac{ t-u }{ v-w }$$

Solve for u

$$u=wx-vx+t$$

$$v\neq w$$

Steps for Solving Linear Equation

Multiply both sides of the equation by v-w.

$$x\left(v-w\right)=t-u$$

Use the distributive property to multiply x by v-w.

$$xv-xw=t-u$$

Swap sides so that all variable terms are on the left hand side.

$$t-u=xv-xw$$

Subtract t from both sides.

$$-u=xv-xw-t$$

The equation is in standard form.

$$-u=vx-wx-t$$

Divide both sides by -1.

$$\frac{-u}{-1}=\frac{vx-wx-t}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$u=\frac{vx-wx-t}{-1}$$

Divide xv-xw-t by -1.

$$u=wx-vx+t$$

Solve for t

$$t=vx-wx+u$$

$$v\neq w$$