Solve operatorname{og}_{5}(3z-8)=2

$$\operatorname { og } _ { 5 } ( 3 z - 8 ) = 2$$

Solve for g_5

$$g_{5}=\frac{2}{o\left(3z-8\right)}$$

$$z\neq \frac{8}{3}\text{ and }o\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply og_{5} by 3z-8.

$$3og_{5}z-8og_{5}=2$$

Combine all terms containing g_{5}.

$$\left(3oz-8o\right)g_{5}=2$$

Divide both sides by 3oz-8o.

$$\frac{\left(3oz-8o\right)g_{5}}{3oz-8o}=\frac{2}{3oz-8o}$$

Dividing by 3oz-8o undoes the multiplication by 3oz-8o.

$$g_{5}=\frac{2}{3oz-8o}$$

Divide 2 by 3oz-8o.

$$g_{5}=\frac{2}{o\left(3z-8\right)}$$

Solve for o

$$o=\frac{2}{g_{5}\left(3z-8\right)}$$

$$z\neq \frac{8}{3}\text{ and }g_{5}\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply og_{5} by 3z-8.

$$3og_{5}z-8og_{5}=2$$

Combine all terms containing o.

$$\left(3g_{5}z-8g_{5}\right)o=2$$

Divide both sides by 3g_{5}z-8g_{5}.

$$\frac{\left(3g_{5}z-8g_{5}\right)o}{3g_{5}z-8g_{5}}=\frac{2}{3g_{5}z-8g_{5}}$$

Dividing by 3g_{5}z-8g_{5} undoes the multiplication by 3g_{5}z-8g_{5}.

$$o=\frac{2}{3g_{5}z-8g_{5}}$$

Divide 2 by 3g_{5}z-8g_{5}.

$$o=\frac{2}{g_{5}\left(3z-8\right)}$$