Solve x=2/3x+2/3kg

$$x = \frac { 2 } { 3 } x + \frac { 2 } { 3 } k g$$

Solve for g (complex solution)

$$\left\{\begin{matrix}g=\frac{x}{2k}\text{, }&k\neq 0\\g\in \mathrm{C}\text{, }&x=0\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$\frac{2}{3}x+\frac{2}{3}kg=x$$

Subtract \frac{2}{3}x from both sides.

$$\frac{2}{3}kg=x-\frac{2}{3}x$$

Combine x and -\frac{2}{3}x to get \frac{1}{3}x.

$$\frac{2}{3}kg=\frac{1}{3}x$$

The equation is in standard form.

$$\frac{2k}{3}g=\frac{x}{3}$$

Divide both sides by \frac{2}{3}k.

$$\frac{3\times \frac{2k}{3}g}{2k}=\frac{x}{3\times \frac{2k}{3}}$$

Dividing by \frac{2}{3}k undoes the multiplication by \frac{2}{3}k.

$$g=\frac{x}{3\times \frac{2k}{3}}$$

Divide \frac{x}{3} by \frac{2}{3}k.

$$g=\frac{x}{2k}$$

Solve for k (complex solution)

$$\left\{\begin{matrix}k=\frac{x}{2g}\text{, }&g\neq 0\\k\in \mathrm{C}\text{, }&x=0\text{ and }g=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$\frac{2}{3}x+\frac{2}{3}kg=x$$

Subtract \frac{2}{3}x from both sides.

$$\frac{2}{3}kg=x-\frac{2}{3}x$$

Combine x and -\frac{2}{3}x to get \frac{1}{3}x.

$$\frac{2}{3}kg=\frac{1}{3}x$$

The equation is in standard form.

$$\frac{2g}{3}k=\frac{x}{3}$$

Divide both sides by \frac{2}{3}g.

$$\frac{3\times \frac{2g}{3}k}{2g}=\frac{x}{3\times \frac{2g}{3}}$$

Dividing by \frac{2}{3}g undoes the multiplication by \frac{2}{3}g.

$$k=\frac{x}{3\times \frac{2g}{3}}$$

Divide \frac{x}{3} by \frac{2}{3}g.

$$k=\frac{x}{2g}$$

Solve for g

$$\left\{\begin{matrix}g=\frac{x}{2k}\text{, }&k\neq 0\\g\in \mathrm{R}\text{, }&x=0\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$\frac{2}{3}x+\frac{2}{3}kg=x$$

Subtract \frac{2}{3}x from both sides.

$$\frac{2}{3}kg=x-\frac{2}{3}x$$

Combine x and -\frac{2}{3}x to get \frac{1}{3}x.

$$\frac{2}{3}kg=\frac{1}{3}x$$

The equation is in standard form.

$$\frac{2k}{3}g=\frac{x}{3}$$

Divide both sides by \frac{2}{3}k.

$$\frac{3\times \frac{2k}{3}g}{2k}=\frac{x}{3\times \frac{2k}{3}}$$

Dividing by \frac{2}{3}k undoes the multiplication by \frac{2}{3}k.

$$g=\frac{x}{3\times \frac{2k}{3}}$$

Divide \frac{x}{3} by \frac{2}{3}k.

$$g=\frac{x}{2k}$$

Solve for k

$$\left\{\begin{matrix}k=\frac{x}{2g}\text{, }&g\neq 0\\k\in \mathrm{R}\text{, }&x=0\text{ and }g=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$\frac{2}{3}x+\frac{2}{3}kg=x$$

Subtract \frac{2}{3}x from both sides.

$$\frac{2}{3}kg=x-\frac{2}{3}x$$

Combine x and -\frac{2}{3}x to get \frac{1}{3}x.

$$\frac{2}{3}kg=\frac{1}{3}x$$

The equation is in standard form.

$$\frac{2g}{3}k=\frac{x}{3}$$

Divide both sides by \frac{2}{3}g.

$$\frac{3\times \frac{2g}{3}k}{2g}=\frac{x}{3\times \frac{2g}{3}}$$

Dividing by \frac{2}{3}g undoes the multiplication by \frac{2}{3}g.

$$k=\frac{x}{3\times \frac{2g}{3}}$$

Divide \frac{x}{3} by \frac{2}{3}g.

$$k=\frac{x}{2g}$$