Answer:
**12x - 1**
Explanation:
To expand and simplify the expression 2(3x - 5) + 3(2x + 3), we can distribute the coefficients to each term within the parentheses. Let's break it down step by step:
Step 1: Distribute the coefficient 2 to each term within the first set of parentheses:
2(3x - 5) = 2 * 3x - 2 * 5 = 6x - 10
Step 2: Distribute the coefficient 3 to each term within the second set of parentheses:
3(2x + 3) = 3 * 2x + 3 * 3 = 6x + 9
Now that we have distributed the coefficients, we can simplify the expression by combining like terms:
6x - 10 + 6x + 9
Combining like terms, we have:
(6x + 6x) + (-10 + 9) = 12x - 1