Solving single operation linear equations

To solve an equation, you are looking at finding the value of the letter. Your goal is to end up with $x=\text{ something}$

Solve with an addition

$$x+5=12$$

The inverse (or opposite) of $+5$ is $-5$. We must do this to both sides though.

$$x+5-5=12-5$$

$$x=7$$

Solve with a subtraction

$$x-7=10$$

The inverse (or opposite) of $-7$ is $+7$.

$$x-7+7=10+7$$

$$x=17$$

Solve with a multiplication

$$8x=40$$

$8x$ means $8\times x$. The inverse (or opposite) of $\times 8$ is $÷8$.

$$8x÷8=40÷8$$

$$x=5$$

Solve with a division

$$\frac{x}{3}=20$$

${\displaystyle \frac{x}{3}}$ means $x÷3$. The inverse (or opposite) of $÷3$ is $\times 3$.

$$\frac{x}{3}\times 3=20\times 3$$

$$x=60$$