Question

simplify the expression: -3(2x + 5) - 5(3x - 2)
-21x - 10
-21x + 10
-21x - 5
-21x + 5

Explanation:

Step1: Distribute the coefficients

First, distribute -3 into (2x + 5) and -5 into (3x - 2).
For -3(2x + 5), we get $-3\times2x + (-3)\times5 = -6x - 15$.
For -5(3x - 2), we get $-5\times3x + (-5)\times(-2) = -15x + 10$.

Step2: Combine like terms

Now, combine the x - terms and the constant terms.
The x - terms are -6x and -15x. Combining them: $-6x - 15x = -21x$.
The constant terms are -15 and 10. Combining them: $-15 + 10 = -5$.
Putting it all together, the simplified expression is $-21x - 5$.

Answer:

-21x - 5 (corresponding to the option with "-21x - 5")