Solve 0=r+xh+x

$$0 = r + x h + x$$

Solve for h

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

Steps for Solving Linear Equation

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

$$r+xh+x=0$$

Subtract r from both sides. Anything subtracted from zero gives its negation.

$$xh+x=-r$$

Subtract x from both sides.

$$xh=-r-x$$

The equation is in standard form.

$$xh=-x-r$$

Divide both sides by x.

$$\frac{xh}{x}=\frac{-x-r}{x}$$

Dividing by x undoes the multiplication by x.

$$h=\frac{-x-r}{x}$$

Divide -r-x by x.

$$h=-\frac{r}{x}-1$$

Solve for r

$$r=-x\left(h+1\right)$$

Solution Steps

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

$$r+xh+x=0$$

Subtract xh from both sides. Anything subtracted from zero gives its negation.

$$r+x=-xh$$

Subtract x from both sides.

$$r=-xh-x$$

Reorder the terms.

$$r=-hx-x$$