https://file.aiquickdraw.com/mathbot/file/172673791530821yzpd3c.jpg

The equation from the image is:

\[
\frac{x - 3}{2x + 5} - \frac{6x}{3x - 4} - \frac{8}{4 - 3x} = 1 \frac{1}{2}
\]

First, let's convert \( 1 \frac{1}{2} \) into an improper fraction:

\[
1 \frac{1}{2} = \frac{3}{2}
\]

Now, we can solve the equation step by step. Let me calculate the solution.The solution to the equation is approximately:

\[
x \approx -3.42
\]

Would you like a detailed step-by-step breakdown of the solution process or have any questions?

Here are five related questions to consider:
1. How do you solve rational equations with multiple fractions?
2. What are the steps to combine and simplify fractions in algebraic equations?
3. How can you check if the solution to an equation is correct?
4. What happens if an equation has no solution or an extraneous solution?
5. How do you handle complex fractions with variable denominators?

**Tip:** Always check the domain of the equation to ensure that the denominators do not equal zero for the given solution!

Solve the equation: (x - 3) / (2x + 5) - 6x / (3x - 4) - 8 / (4 - 3x) = 1 1/2

Learn how to solve a complex rational equation step by step: (x - 3) / (2x + 5) - 6x / (3x - 4) - 8 / (4 - 3x) = 1 1/2. This problem involves algebraic concepts such as rational expressions, common denominators, and simplification strategies. Suitable for Grades 10-12.

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