Solve vx+6=3x-14

$$v x + 6 = 3 x - 14$$

Solve for v

$$v=3-\frac{20}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Subtract 6 from both sides.

$$vx=3x-14-6$$

Subtract 6 from -14 to get -20.

$$vx=3x-20$$

The equation is in standard form.

$$xv=3x-20$$

Divide both sides by x.

$$\frac{xv}{x}=\frac{3x-20}{x}$$

Dividing by x undoes the multiplication by x.

$$v=\frac{3x-20}{x}$$

Divide 3x-20 by x.

$$v=3-\frac{20}{x}$$

Solve for x

$$x=-\frac{20}{v-3}$$

$$v\neq 3$$

Steps for Solving Linear Equation

Subtract 3x from both sides.

$$vx+6-3x=-14$$

Subtract 6 from both sides.

$$vx-3x=-14-6$$

Subtract 6 from -14 to get -20.

$$vx-3x=-20$$

Combine all terms containing x.

$$\left(v-3\right)x=-20$$

Divide both sides by v-3.

$$\frac{\left(v-3\right)x}{v-3}=-\frac{20}{v-3}$$

Dividing by v-3 undoes the multiplication by v-3.

$$x=-\frac{20}{v-3}$$