Solve r=(b-5)m

$$r = ( b - 5 ) m$$

Solve for b (complex solution)

$$\left\{\begin{matrix}b=\frac{r}{m}+5\text{, }&m\neq 0\\b\in \mathrm{C}\text{, }&r=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply b-5 by m.

$$r=bm-5m$$

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

$$bm-5m=r$$

Add 5m to both sides.

$$bm=r+5m$$

The equation is in standard form.

$$mb=5m+r$$

Divide both sides by m.

$$\frac{mb}{m}=\frac{5m+r}{m}$$

Dividing by m undoes the multiplication by m.

$$b=\frac{5m+r}{m}$$

Divide r+5m by m.

$$b=\frac{r}{m}+5$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=-\frac{r}{5-b}\text{, }&b\neq 5\\m\in \mathrm{C}\text{, }&r=0\text{ and }b=5\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply b-5 by m.

$$r=bm-5m$$

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

$$bm-5m=r$$

Combine all terms containing m.

$$\left(b-5\right)m=r$$

Divide both sides by b-5.

$$\frac{\left(b-5\right)m}{b-5}=\frac{r}{b-5}$$

Dividing by b-5 undoes the multiplication by b-5.

$$m=\frac{r}{b-5}$$

Solve for b

$$\left\{\begin{matrix}b=\frac{r}{m}+5\text{, }&m\neq 0\\b\in \mathrm{R}\text{, }&r=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply b-5 by m.

$$r=bm-5m$$

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

$$bm-5m=r$$

Add 5m to both sides.

$$bm=r+5m$$

The equation is in standard form.

$$mb=5m+r$$

Divide both sides by m.

$$\frac{mb}{m}=\frac{5m+r}{m}$$

Dividing by m undoes the multiplication by m.

$$b=\frac{5m+r}{m}$$

Divide r+5m by m.

$$b=\frac{r}{m}+5$$

Solve for m

$$\left\{\begin{matrix}m=-\frac{r}{5-b}\text{, }&b\neq 5\\m\in \mathrm{R}\text{, }&r=0\text{ and }b=5\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply b-5 by m.

$$r=bm-5m$$

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

$$bm-5m=r$$

Combine all terms containing m.

$$\left(b-5\right)m=r$$

Divide both sides by b-5.

$$\frac{\left(b-5\right)m}{b-5}=\frac{r}{b-5}$$

Dividing by b-5 undoes the multiplication by b-5.

$$m=\frac{r}{b-5}$$