Introduction
Solving for x in an equation is a fundamental concept in mathematics that involves finding the value of the variable that makes the equation true. In this article, we will focus on solving for x in the equation 6x + 42. We will discuss the steps involved in solving this type of equation and provide examples to help you understand the process better.
Understanding the Equation 6X + 42
The equation 6x + 42 can be interpreted as follows:
- The term 6x represents a number that is multiplied by 6.
- The term 42 is a constant value that is added to the result of 6x.
When solving for x in this equation, we are looking for the value of x that satisfies the equation 6x + 42 = 0.
Steps to Solve the Equation 6X + 42
Follow these steps to solve for x in the equation 6x + 42:
- Subtract 42 from both sides: Begin by isolating the term containing x on one side of the equation. Subtract 42 from both sides to get 6x = -42.
- Divide by 6: To solve for x, divide both sides of the equation by 6. This results in x = -7.
Example Problems
Let’s solve the equation 6x + 42 = 0 using the steps mentioned above.
Example 1
Solve for x in the equation 6x + 42 = 0.
- 6x + 42 = 0
- Subtract 42 from both sides: 6x = -42
- Divide by 6: x = -7
Therefore, x = -7 is the solution to the equation 6x + 42 = 0.
Example 2
Let’s solve another example of the equation 6x + 42 = 0.
- 6x + 42 = 0
- Subtract 42 from both sides: 6x = -42
- Divide by 6: x = -7
Once again, x = -7 is the solution to the equation 6x + 42 = 0.
Conclusion
Solving for x in the equation 6x + 42 is a straightforward process that involves isolating the variable term and performing basic arithmetic operations. By following the steps outlined in this article and practicing with example problems, you can improve your understanding of solving linear equations. Remember to always double-check your work and verify your solutions to ensure accuracy.
