Solve 4*f(x)=2x-1

$$4 \cdot f ( x ) = 2 x - 1$$

Solve for f

$$f=\frac{1}{2}-\frac{1}{4x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$4xf=2x-1$$

Divide both sides by 4x.

$$\frac{4xf}{4x}=\frac{2x-1}{4x}$$

Dividing by 4x undoes the multiplication by 4x.

$$f=\frac{2x-1}{4x}$$

Divide 2x-1 by 4x.

$$f=\frac{1}{2}-\frac{1}{4x}$$

Solve for x

$$x=-\frac{1}{2\left(2f-1\right)}$$

$$f\neq \frac{1}{2}$$

Steps for Solving Linear Equation

Subtract 2x from both sides.

$$4fx-2x=-1$$

Combine all terms containing x.

$$\left(4f-2\right)x=-1$$

Divide both sides by 4f-2.

$$\frac{\left(4f-2\right)x}{4f-2}=-\frac{1}{4f-2}$$

Dividing by 4f-2 undoes the multiplication by 4f-2.

$$x=-\frac{1}{4f-2}$$

Divide -1 by 4f-2.

$$x=-\frac{1}{2\left(2f-1\right)}$$