Answer: 3x + 11
Explanation:
To expand and simplify the expression 5(x + 3) - 2(x + 2), we can distribute the factors and then combine like terms. Let's do it step by step:
Distribute 5 to the terms inside the parentheses: 5(x + 3) becomes 5x + 15.
The expression now becomes: 5x + 15 - 2(x + 2).
Distribute -2 to the terms inside the parentheses: -2(x + 2) becomes -2x - 4.
The expression now becomes: 5x + 15 - 2x - 4.
Combine like terms: Add or subtract the coefficients of the same variables.
Combining the x terms, we have: (5x - 2x) + 15 - 4 = 3x + 11.
So, the expanded and simplified form of 5(x + 3) - 2(x + 2) is 3x + 11.