# Solving Multi-Step Equations with Variables on Both Sides04:00 minutes

Video Transcript

## TranscriptSolving Multi-Step Equations with Variables on Both Sides

Meet Emilio and Joanna. They're at a fish store. They've come to buy some scaly friends, and they each have the same amount of money.

Emilio makes his selection quickly. He buys two Rainbow Blinkeys and ten Grey Borings. Joanna loves Rainbow Blinkeys, so she buys five of them and just one Grey Boring. They both spend all of their money.

When Emilio sees Joanna’s purchase, he feels sad because he realizes he could have bought another Rainbow Blinkey. He wonders, to get one more Rainbow Blinkey, how many Grey Borings would he need to exchange? To find out how many, Emilio can use a multi-step equation with variables on both sides of the equal sign.

### Multi-step Equation Example 1

Just to refresh your memory, an equation works like a scale. And to keep the scale balanced, when you add or subtract one side of the scale, you must perform the same operation to the other side.

Joanna bought five Rainbow Blinkeys and one Grey Boring. For the same amount of money, Emilio bought two Rainbow Blinkeys and ten Grey Borings so the scale is balanced.