Solve D=f(x-4)-f(x)/h

$$D = \frac { f ( x - 4 ) - f ( x ) } { h }$$

Solve for f

$$f=-\frac{Dh}{4}$$

$$h\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by h.

$$Dh=f\left(x-4\right)-fx$$

Use the distributive property to multiply f by x-4.

$$Dh=fx-4f-fx$$

Combine fx and -fx to get 0.

$$Dh=-4f$$

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

$$-4f=Dh$$

Divide both sides by -4.

$$\frac{-4f}{-4}=\frac{Dh}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$f=\frac{Dh}{-4}$$

Divide Dh by -4.

$$f=-\frac{Dh}{4}$$

Solve for D

$$D=-\frac{4f}{h}$$

$$h\neq 0$$