Solve (x+h)k=z

$$( x + h ) k = z$$

Solve for h

$$\left\{\begin{matrix}h=-x+\frac{z}{k}\text{, }&k\neq 0\\h\in \mathrm{R}\text{, }&z=0\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$xk+hk=z$$

Subtract xk from both sides.

$$hk=z-xk$$

The equation is in standard form.

$$kh=z-kx$$

Divide both sides by k.

$$\frac{kh}{k}=\frac{z-kx}{k}$$

Dividing by k undoes the multiplication by k.

$$h=\frac{z-kx}{k}$$

Divide z-xk by k.

$$h=-x+\frac{z}{k}$$

Solve for k

$$\left\{\begin{matrix}k=\frac{z}{x+h}\text{, }&x\neq -h\\k\in \mathrm{R}\text{, }&z=0\text{ and }x=-h\end{matrix}\right.$$

Steps for Solving Linear Equation

Divide both sides by x+h.

$$\frac{\left(x+h\right)k}{x+h}=\frac{z}{x+h}$$

Dividing by x+h undoes the multiplication by x+h.

$$k=\frac{z}{x+h}$$