Solve 40-x=30(kg)

$$40 - x = 30 ( kg )$$

Solve for g (complex solution)

$$\left\{\begin{matrix}g=-\frac{x-40}{30k}\text{, }&k\neq 0\\g\in \mathrm{C}\text{, }&x=40\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$30kg=40-x$$

Divide both sides by 30k.

$$\frac{30kg}{30k}=\frac{40-x}{30k}$$

Dividing by 30k undoes the multiplication by 30k.

$$g=\frac{40-x}{30k}$$

Solve for k (complex solution)

$$\left\{\begin{matrix}k=-\frac{x-40}{30g}\text{, }&g\neq 0\\k\in \mathrm{C}\text{, }&x=40\text{ and }g=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$30kg=40-x$$

The equation is in standard form.

$$30gk=40-x$$

Divide both sides by 30g.

$$\frac{30gk}{30g}=\frac{40-x}{30g}$$

Dividing by 30g undoes the multiplication by 30g.

$$k=\frac{40-x}{30g}$$

Solve for g

$$\left\{\begin{matrix}g=-\frac{x-40}{30k}\text{, }&k\neq 0\\g\in \mathrm{R}\text{, }&x=40\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$30kg=40-x$$

Divide both sides by 30k.

$$\frac{30kg}{30k}=\frac{40-x}{30k}$$

Dividing by 30k undoes the multiplication by 30k.

$$g=\frac{40-x}{30k}$$

Solve for k

$$\left\{\begin{matrix}k=-\frac{x-40}{30g}\text{, }&g\neq 0\\k\in \mathrm{R}\text{, }&x=40\text{ and }g=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$30kg=40-x$$

The equation is in standard form.

$$30gk=40-x$$

Divide both sides by 30g.

$$\frac{30gk}{30g}=\frac{40-x}{30g}$$

Dividing by 30g undoes the multiplication by 30g.

$$k=\frac{40-x}{30g}$$