5x 1 3x 15 Calculator
'/%3E%3Ccircle cx='48' cy='39' r='19' fill='%23f2c9a5'/%3E%3Cpath d='M27 35c3-16 39-17 42 2-8-8-27-9-42-2z' fill='%23374151'/%3E%3Cpath d='M21 86c5-24 49-28 56 0z' fill='%232563eb'/%3E%3Ccircle cx='41' cy='41' r='2' fill='%23111827'/%3E%3Ccircle cx='55' cy='41' r='2' fill='%23111827'/%3E%3Cpath d='M42 52c4 3 9 3 13 0' stroke='%2392400e' stroke-width='3' fill='none' stroke-linecap='round'/%3E%3C/svg%3E)
Reviewed by Calculator Editorial Team
This calculator helps you solve the equation 5x + 1 = 3x + 15. Whether you're a student learning algebra or someone needing to verify a calculation, this tool provides a clear, step-by-step solution.
How to Use This Calculator
Using our 5x 1 3x 15 calculator is simple:
- Enter the values for x in the equation 5x + 1 = 3x + 15.
- Click the "Calculate" button to solve for x.
- Review the solution and explanation provided.
- Use the reset button to clear the calculator for new calculations.
The calculator will show you the step-by-step solution to the equation, helping you understand how to solve similar problems in the future.
Understanding the Equation
The equation 5x + 1 = 3x + 15 is a linear equation in one variable. To solve for x, follow these steps:
- Subtract 3x from both sides to get all x terms on one side.
- Subtract 1 from both sides to isolate the constant terms.
- Divide both sides by the coefficient of x to solve for x.
Formula: 5x + 1 = 3x + 15
Solution steps:
- Subtract 3x from both sides: 5x - 3x + 1 = 15
- Simplify: 2x + 1 = 15
- Subtract 1 from both sides: 2x = 14
- Divide by 2: x = 7
This process demonstrates the fundamental steps of solving linear equations, which are essential in algebra and many real-world applications.
Worked Example
Let's solve the equation 5x + 1 = 3x + 15 step by step:
- Start with the original equation: 5x + 1 = 3x + 15
- Subtract 3x from both sides: 5x - 3x + 1 = 3x - 3x + 15
- Simplify: 2x + 1 = 15
- Subtract 1 from both sides: 2x = 15 - 1
- Simplify: 2x = 14
- Divide both sides by 2: x = 14 / 2
- Final solution: x = 7
This example shows how to systematically solve for x, which is a valuable skill in algebra and beyond.
Common Mistakes to Avoid
When solving equations like 5x + 1 = 3x + 15, it's easy to make mistakes. Here are some common errors to watch out for:
- Forgetting to perform the same operation on both sides of the equation.
- Incorrectly combining like terms.
- Dividing by the wrong coefficient.
- Making sign errors when moving terms from one side to the other.
Tip: Always double-check each step to ensure you're performing the same operation on both sides of the equation. This habit will help you avoid common mistakes and arrive at the correct solution.
Frequently Asked Questions
What is the solution to 5x + 1 = 3x + 15?
The solution to the equation 5x + 1 = 3x + 15 is x = 7. This is found by following the steps of solving a linear equation.
How do I solve for x in 5x + 1 = 3x + 15?
To solve for x, subtract 3x from both sides, then subtract 1 from both sides, and finally divide by 2. This will give you x = 7.
What are the steps to solve 5x + 1 = 3x + 15?
The steps are: 1) Subtract 3x from both sides, 2) Subtract 1 from both sides, and 3) Divide by 2. This will solve for x.