Solve f(x+h)-f(x)/h=2x+h

$$\frac { f ( x + h ) - f ( x ) } { h } = 2 x + h$$

Solve for f

$$f=2x+h$$

$$h\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by h.

$$f\left(x+h\right)-fx=2xh+hh$$

Multiply h and h to get h^{2}.

$$f\left(x+h\right)-fx=2xh+h^{2}$$

Use the distributive property to multiply f by x+h.

$$fx+fh-fx=2xh+h^{2}$$

Combine fx and -fx to get 0.

$$fh=2xh+h^{2}$$

The equation is in standard form.

$$hf=2hx+h^{2}$$

Divide both sides by h.

$$\frac{hf}{h}=\frac{h\left(2x+h\right)}{h}$$

Dividing by h undoes the multiplication by h.

$$f=\frac{h\left(2x+h\right)}{h}$$

Divide h\left(2x+h\right) by h.

$$f=2x+h$$

Solve for h

$$h=f-2x$$

$$f\neq 2x$$