## Two-Step Equations

### Equations: Learn

An *equation* is a mathematical statement that has two expressions
separated by an equal sign. The expression on the left side of the equal
sign has the same value as the expression on the right side.
*Solving* an equation means manipulating the expressions
and finding the value of any variables.

To keep an equation equal, we must do exactly the same thing to each side of the equation. If we add (or subtract) a quantity from one side, we must add (or subtract) that same quantity from the other side. If we multiply (or divide) a quantity from one side, then we must multiply (or divide) that same quantity from the other side.

If the equation has more than one operation on the side with the
variable, we follow the order of operations, but in reverse.
(That is, first take care of addition or subtraction,
and *then* take care of multiplication or division).

For example, to solve the equation: 8x-2=14, we must first add 2 to both sides, then divide the 8 from both sides.

8 | x | - | 2 | = | 14 |

+ | 2 | +2 | |||

8 | x | = | 16 | ||

÷ | 8 | ÷8 | |||

x | = | 2 |

### Equations: Practice

#### Solve for x.

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If ,

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