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**Solving Equations With Variables On Both Sides**: At a Glance

- Topics At a Glance
- Arithmetic, Geometric & Exponential Patterns
- Algebraic Expressions
- Evaluating Algebraic Expressions
- Combining Like Terms
- Distributive Property
- Multiplying Monomials
- Multiplying Binomials
- Dividing Polynomials
- Graphing X-Y Points
- Solving One-Step Equations
- Solving Two-Step Equations
- Solving More Complex Equations
**Solving Equations with Variables on Both Sides**- Solving Funky Equations
- Graphing Inequalities
- Solving Inequalities
- Graphing Lines
- Intercepts
- Graphing Horizontal & Vertical Lines
- Graphing Lines By Plotting Points
- Slope-Intercept Form
- Solving Multiple Equations by Graphing

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.

subtract 2x from each side | |

combine the like terms | |

subtract 18 from each side | |

simplify | |

divide each side by 3 | |

and done! |

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:**

Example 1

Solve for y: |

Example 2

Solve for k: |