Solve 24*f(x)=2x-6

$$24 \cdot f ( x ) = 2 x - 6$$

Solve for f

$$f=\frac{1}{12}-\frac{1}{4x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$24xf=2x-6$$

Divide both sides by 24x.

$$\frac{24xf}{24x}=\frac{2x-6}{24x}$$

Dividing by 24x undoes the multiplication by 24x.

$$f=\frac{2x-6}{24x}$$

Divide -6+2x by 24x.

$$f=\frac{1}{12}-\frac{1}{4x}$$

Solve for x

$$x=-\frac{3}{12f-1}$$

$$f\neq \frac{1}{12}$$

Steps for Solving Linear Equation

Subtract 2x from both sides.

$$24fx-2x=-6$$

Combine all terms containing x.

$$\left(24f-2\right)x=-6$$

Divide both sides by 24f-2.

$$\frac{\left(24f-2\right)x}{24f-2}=-\frac{6}{24f-2}$$

Dividing by 24f-2 undoes the multiplication by 24f-2.

$$x=-\frac{6}{24f-2}$$

Divide -6 by 24f-2.

$$x=-\frac{3}{12f-1}$$