## Algebra 1 Tutorial

*Solving Equations with Variables*

#### Intro

The following is an example of an equation that requires multiplication, addition and subtraction knowledge with variables. This equation is solving for X. The final result should include variable X on one side of the equal sign with an number on the other.

#### Sample Problem

4(x+6)= -20

#### Solution

1. The number outside the parentheses must be multiplied by the variable and and digit inside while keeping the same format: 4 x n= 4n 4 x 6=20

2. This creates a new equation:

4x+24= -20

3. The goal is to get x by itself. The first logical step is to have the 24 equal to 0 on the side with the variable. To obtain this 24 must be subtracted from both sides.

4x + 24 (-24) = -20 – 24

since 24 – 24 =0 this leaves and -20 – 24= -44

4x = -44

4. X is still not alone. The final step is to divide 4 by both sides.

4X = -44 4X/4= 1X or X and -44/4= -11

— —

4 4

5. Final result x=-11

# About The Author

Making Math Magic |

As salutatorian of my high school, I always had a passion for helping my peers and others. I always wanted to be a teacher, but quickly learned the traditional classroom setting was far from what I dreamed. I currently work in healthcare, but would love to fill the void in my life. Helping you or yo... |