Solving the Equation 5x - 11 3x 9: A Complete Guide with Google SEO Best Practices

Algebra is a foundational branch of mathematics, and at its core, it involves solving equations to find the value of unknown variables. In this comprehensive guide, we will walk through the steps to solve the equation 5x - 11 3x 9. To ensure our content ranks well on search engines like Google, we will include SEO best practices and optimize our key terms for improved visibility and accessibility.

Identifying Variables and Constants

The first step in solving any algebraic equation is to identify the variables and constants. In the equation 5x - 11 3x 9, we see that x is the variable. We also see constants, which are the fixed numbers within the equation (5, 11, 3, 9).

Isolating the Variable

To solve for the variable, we need to get all the terms with x on one side of the equation, and all the constant terms on the other side. This is known as isolating the variable.

Step 1: Reorganize the Equation

Start by moving the terms containing x to one side of the equation and the constant terms to the other side. This can be done by subtracting 3x from both sides of the equation:

Subtract 3x from both sides:

5x - 3x - 11 3x - 3x 9

This simplifies to:

2x - 11 9

Next, add 11 to both sides to isolate the variable term:

2x - 11 11 9 11

This simplifies to:

2x 20

Finally, divide both sides by 2 to solve for x:

2x / 2 20 / 2

This gives us:

x 10

Therefore, the solution to the equation 5x - 11 3x 9 is x 10.

Alternative Methods and Verification

Let's also look at an alternative approach to solving the equation:

Combining like terms initially:

5x - 11 3x 9

Move all terms with x to one side and constants to the other side:

5x - 3x 9 11

This simplifies to:

2x 20

From here, solve for x by dividing both sides by 2:

x 10

To verify the solution, substitute x 10 back into the original equation:

5x - 11 3x 9

Substitute x 10:

5(10) - 11 3(10) 9

This simplifies to:

50 - 11 30 9

Which is:

39 39

The equation is satisfied, confirming that x 10 is the correct solution.

SEO Optimized Tips for Google

To enhance visibility and accessibility of this content on Google, consider including the following SEO tips:

Use bold text to highlight key concepts and terms like 'variable', 'constant', and 'equation' in the title and throughout the article.

Incorporate relevant keywords such as 'algebra equation solving' and 'variable isolation' into subheadings and throughout the text.

Make sure to include h1 tags for the main title, h2 tags for subheadings, and h3 tags for additional sections if appropriate.

By implementing these SEO best practices, you can improve the organic search ranking of this content on Google and ensure it reaches a wider audience.

Conclusion

Solving algebraic equations like 5x - 11 3x 9 involves a series of systematic steps. By understanding how to isolate variables and verify solutions, you can tackle similar problems with confidence. If you have any further questions or need additional help, feel free to drop a comment, and I will be happy to assist. Drop a like or share this guide if you found it helpful. Happy problem-solving!