# Basic Algebra

# Solving Equations with Variables on Both Sides

If you encounter a variable on both sides of the equal sign, don't assume it's a typo and move on to the next problem; it may very well be there on purpose. The key to solving these types of equations is to *move* all the terms containing the variable to one, and only one, side. It doesn't matter which side you choose, just try to pick the easier one.

As before, there are a lot of different ways to solve these problems. Choose whatever way floats your boat.

## Method #1: Get all the variables on the right-hand side.

subtract 2x from each side | |

combine the like terms | |

subtract 18 from each side | |

simplify | |

divide each side by 3 | |

and done! |

## Method #2: Get all the variables on the left-hand side.

subtract 5x from each side | |

combine the like terms | |

add 6 to each side | |

simplify | |

divide each side by -3 | |

same answer |

**Don't forget to check:**