Solve yg(x)=3(x+8)

$$y g ( x ) = 3 ( x + 8 )$$

Solve for g (complex solution)

$$\left\{\begin{matrix}g=\frac{3\left(x+8\right)}{xy}\text{, }&y\neq 0\text{ and }x\neq 0\\g\in \mathrm{C}\text{, }&x=-8\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x+8.

$$ygx=3x+24$$

The equation is in standard form.

$$xyg=3x+24$$

Divide both sides by yx.

$$\frac{xyg}{xy}=\frac{3x+24}{xy}$$

Dividing by yx undoes the multiplication by yx.

$$g=\frac{3x+24}{xy}$$

Divide 24+3x by yx.

$$g=\frac{3\left(x+8\right)}{xy}$$

Solve for g

$$\left\{\begin{matrix}g=\frac{3\left(x+8\right)}{xy}\text{, }&y\neq 0\text{ and }x\neq 0\\g\in \mathrm{R}\text{, }&x=-8\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x+8.

$$ygx=3x+24$$

The equation is in standard form.

$$xyg=3x+24$$

Divide both sides by yx.

$$\frac{xyg}{xy}=\frac{3x+24}{xy}$$

Dividing by yx undoes the multiplication by yx.

$$g=\frac{3x+24}{xy}$$

Divide 24+3x by yx.

$$g=\frac{3\left(x+8\right)}{xy}$$

Solve for x

$$x=\frac{24}{gy-3}$$

$$g=0\text{ or }y\neq \frac{3}{g}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x+8.

$$ygx=3x+24$$

Subtract 3x from both sides.

$$ygx-3x=24$$

Combine all terms containing x.

$$\left(yg-3\right)x=24$$

The equation is in standard form.

$$\left(gy-3\right)x=24$$

Divide both sides by yg-3.

$$\frac{\left(gy-3\right)x}{gy-3}=\frac{24}{gy-3}$$

Dividing by yg-3 undoes the multiplication by yg-3.

$$x=\frac{24}{gy-3}$$