Solve operatorname{gO}-x=2x+30

$$\operatorname { gO } - x = 2 x + 30$$

Solve for O (complex solution)

$$\left\{\begin{matrix}O=\frac{3\left(x+10\right)}{g}\text{, }&g\neq 0\\O\in \mathrm{C}\text{, }&x=-10\text{ and }g=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add x to both sides.

$$gO=2x+30+x$$

Combine 2x and x to get 3x.

$$gO=3x+30$$

Divide both sides by g.

$$\frac{gO}{g}=\frac{3x+30}{g}$$

Dividing by g undoes the multiplication by g.

$$O=\frac{3x+30}{g}$$

Divide 30+3x by g.

$$O=\frac{3\left(x+10\right)}{g}$$

Solve for g (complex solution)

$$\left\{\begin{matrix}g=\frac{3\left(x+10\right)}{O}\text{, }&O\neq 0\\g\in \mathrm{C}\text{, }&x=-10\text{ and }O=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add x to both sides.

$$gO=2x+30+x$$

Combine 2x and x to get 3x.

$$gO=3x+30$$

The equation is in standard form.

$$Og=3x+30$$

Divide both sides by O.

$$\frac{Og}{O}=\frac{3x+30}{O}$$

Dividing by O undoes the multiplication by O.

$$g=\frac{3x+30}{O}$$

Divide 30+3x by O.

$$g=\frac{3\left(x+10\right)}{O}$$

Solve for O

$$\left\{\begin{matrix}O=\frac{3\left(x+10\right)}{g}\text{, }&g\neq 0\\O\in \mathrm{R}\text{, }&x=-10\text{ and }g=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add x to both sides.

$$gO=2x+30+x$$

Combine 2x and x to get 3x.

$$gO=3x+30$$

Divide both sides by g.

$$\frac{gO}{g}=\frac{3x+30}{g}$$

Dividing by g undoes the multiplication by g.

$$O=\frac{3x+30}{g}$$

Divide 30+3x by g.

$$O=\frac{3\left(x+10\right)}{g}$$

Solve for g

$$\left\{\begin{matrix}g=\frac{3\left(x+10\right)}{O}\text{, }&O\neq 0\\g\in \mathrm{R}\text{, }&x=-10\text{ and }O=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Add x to both sides.

$$gO=2x+30+x$$

Combine 2x and x to get 3x.

$$gO=3x+30$$

The equation is in standard form.

$$Og=3x+30$$

Divide both sides by O.

$$\frac{Og}{O}=\frac{3x+30}{O}$$

Dividing by O undoes the multiplication by O.

$$g=\frac{3x+30}{O}$$

Divide 30+3x by O.

$$g=\frac{3\left(x+10\right)}{O}$$