# 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.