The expression given in the image is:

$5(2x - 3) - 4(3x + 2)$

Let's simplify it step by step.

Step 1: Distribute the numbers outside the parentheses.

• Distribute the 5 across the terms inside the first parentheses: $5 \times 2x - 5 \times 3 = 10x - 15$
• Distribute the -4 across the terms inside the second parentheses: $-4 \times 3x - 4 \times 2 = -12x - 8$

Step 2: Combine like terms.

Now, combine the like terms: $10x - 15 - 12x - 8$

• Combine the $x$ terms: $10x - 12x = -2x$
• Combine the constant terms: $-15 - 8 = -23$

Final Answer:

$-2x - 23$

Would you like more details or have any questions?

Here are some related questions you might find useful:

1. What is the process for factoring expressions?
2. How do you distribute a negative number across terms in parentheses?
3. How do you solve linear equations after simplifying an expression?
4. What are the rules for combining like terms?
5. How do you approach solving a quadratic equation after simplifying an expression?

Tip: When simplifying expressions, always distribute multiplication over addition and subtraction before combining like terms.