Simplifying complicated equations

6 videos
1 skill
You feel good about your rapidly developing equation-solving ability. Now you're ready to fully flex your brain. In this tutorial, we'll explore equations that don't look so simple at first, but that, with a bit of skill, we can turn into equations that don't cause any stress! Have fun!

How to solve an equation with variables on both sides (example with x in the denominator)

VIDEO 3:24 minutes
Sal solves the equation 7 - 10/x = 2 + 15/x. There are many ways to solve this equation. Sal's method uses the distributive property.

How to solve an equation using the distributive property

VIDEO 6:04 minutes
Sal solves the equation -9 - (9x - 6) = 3(4x + 6) using the distributive property.

A clever application of the distributive property to solve a multi-step equation

VIDEO 4:50 minutes
Sal solves the equation (3/4)x + 2 = (3/8)x - 4 using the distributive property

Ex 2: Distributive property to simplify

VIDEO 5:46 minutes
Fine tuning our skills as we tackle more equations in which we utilize the distributive property.

Ex 1: Distributive property to simplify

VIDEO 15:01 minutes
Let's do a few examples (including a word problem) in which we put the distributive property to work solving multi-step equations.

Ex 3: Distributive property to simplify

VIDEO 9:28 minutes
The power of the distributive property allows us to solve these examples equations (and a word problem).

Multi-step equations with distribution

PRACTICE PROBLEMS
Practice solving equations with variables on both sides. The problems require you to apply the distributive property.