# Different ways to solve equations

We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division.

If we add the same number to both sides of an equation, both sides will remain equal.

**Example**

$$x=y$$

$$x+z=y+z$$

If we subtract the same number from both sides of an equation, both sides will remain equal.

**Example**

$$x=y$$

$$x-z=y-z$$

If we divide both sides of an equation by the same number, both sides will remain equal.

**Example**

$$x=y$$

$$x\div z=y\div z$$

If we multiply both sides of an equation by the same number, both sides will remain equal.

$$x=y$$

$$x\cdot z=y\cdot z $$

**Video lesson**

Solve the following equation

$$4x-7=\frac{x}{3}+4$$