#### The Order of Operations in Math — A Complete & Kid-Friendly Guide

Check out our complete, easy-to-follow guide to the order of operations in math, with definitions, illustrated examples, and engaging practice activities.

Sep 27, 2023

Welcome to Mathnasium’s Math Tricks series. Today we are solving linear equations in the form *ax + b = c*.

We can sometimes solve linear equations using *inspection*. When solving for *x*, we can think “something plus *b* equals *c*,” and “*a* times the number *x* equals that something.”

In some cases, it may be difficult to solve for *x* mentally. Instead, to solve for the *variable* *x*, we undo the operations in the reverse of the *order of operations*. That means we start by undoing the addition or subtraction first and then undoing the multiplication or division. Recall the **Law of Equations** tells us that operations done on one side of the equal sign must also be done on the other side of the equal sign to keep the equation in balance.

Follow the examples below to solve for the variable.

**Step 1: Undo the addition or subtraction on both sides of the equation.**

-3

-3

-3

6 – 6 = 0

**Step 1: Undo the addition or subtraction on both sides of the equation.**

11

11

11

-4 – 6 = -10

Now, with this strategy, you are ready to use this Mathnasium Math Trick to solve linear equations in the form *ax + b = c*. Click here for more practice problems, then check your answers here.

If you missed this, or any of our other Math Tricks videos, check them out on our YouTube channel!

Do you have a math trick you want to see? Submit your request at: http://bit.ly/MathnasiumMathTricks.

Mathnasium meets your child where they are and helps them with the customized program they need, for any level of mathematics.

- Find a location
- Get a math skills assessment for your child
- Your child will complete a customized learning plan

Get Started by Finding a Local Center