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# Math: Basic Tutorials

## Equation Basics

An equation is something that contains two quantities separated by an equal sign; the two quantities are equal but are represented differently (e.g. 2+2 = 4). An algebraic equation contains at least one variable that is unknown (e.g. 2+y = 4). This section explains the basics of equations and how to keep them balanced.

## Solving Equations Basics

Solving Equations Basics Video transcript - RTF

## Examples & Activity

### Examples

Click on the titles below to view each example.

Determine whether x equals 5 is a solution of 4x plus 5 equals 30 minus x.

Line 1: Substitute 5 for x into the equation so it becomes 4 times 5 plus 5 equals 30 minus 5.

Line 2: Multiply to simplify so the equation becomes 20 plus 5 equals 30 minus 5.

Line 3: Add and subtract to simplify so the equation becomes 25 equals 25.

Therefore, x equals 5 is a solution of 4x plus 5 equals 30 minus x.

Determine whether x equals 7 is a solution of 5x equals 50 minus 3x.

Line 1: Substitute 7 for x into the equation so it becomes 5 times 7 equals 50 minus 3 times 7.

Line 2: Multiply to simplify so the equation becomes 35 equals 50 minus 21.

Line 3: Subtract to simplify so the equation becomes 35 does not equal 29.

Therefore, x equals 7 is not a solution of 5x equals 50 minus 3x.

### Activity

Try this activity to test your skills. If you have trouble, check out the information in the module for help.