Understanding the Equation
When we look at the equation “4 + 2x = 6 + 24” there seems to be a mistake with the operation signs. It should be 4 + 2x = 6 * 24 or 4 + 2x = 6 – 24. Assuming the correct equation is “4 + 2x = 6 * 24”, let’s break it down:
- The equation we have is 4 + 2x = 6 * 24.
- We need to solve for x, which means we want to isolate x on one side of the equation.
Solving the Equation
Let’s solve the equation step by step:
- Start by simplifying the right side of the equation:
- 6 * 24 = 144, so the equation becomes 4 + 2x = 144.
- Next, isolate the variable x:
- Subtract 4 from both sides: 2x = 144 – 4.
- This simplifies to 2x = 140.
- Divide by 2 on both sides to solve for x: x = 70.
- 4 + 2(70) = 144.
- 4 + 140 = 144.
- 144 = 144.
- Therefore, x = 70 is the correct solution to the equation 4 + 2x = 6 * 24.
- Making computation errors: Double-check your calculations to ensure accuracy.
- Forgetting to apply the correct order of operations: PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) is crucial to follow.
- Incorrectly isolating the variable: Be methodical in your steps to isolate the variable correctly.
- 5x + 7 = 12 * 3
- 3 + 4(2x – 5) = 25
Check Your Answer
Always ensure to check your answer by plugging it back into the original equation:
Common Mistakes to Avoid
When solving equations, it’s important to be attentive and avoid common mistakes. Here are some mistakes to watch out for:
Further Practice
If you want to enhance your equation-solving skills, consider practicing more problems similar to the one discussed. Here are some equations you can try solving:
Remember to follow the proper steps and double-check your answers to master solving equations effortlessly. Practice makes perfect!
