Multi-Step Equations: Steps to Success
Ever wonder how to tackle those complicated-looking equations? Multi-step equations follow a specific roadmap that makes them manageable! The key steps include: 1) Distribute, 2) Combine like terms, 3) Isolate the variables, 4) Use inverse operations to eliminate addition/subtraction, and 5) Use inverse operations to eliminate multiplication/division.
Let's see this in action with x+53x−4=12x+4. First, we distribute the 5 to everything inside the parentheses: x+15x-20=12x+4. Next, we combine like terms on the left side: 16x-20=12x+4. To isolate variables, subtract 12x from both sides: 4x-20=4.
To solve completely, add 20 to both sides: 4x=24. Finally, divide both sides by 4: x=6. That's your answer!
Math Hack: Always follow the steps in order! Think of it like a recipe—you wouldn't add frosting before baking the cake. Similarly, always distribute and combine like terms before trying to isolate variables.