Final answer:
The value of p that makes the expression 6x + 3 - (8x - 5) equivalent to (px + 8) is -2, since simplifying the first expression results in -2x + 8.
Step-by-step explanation:
To find the value of p so that the expression 6x+3−(8x−5) is equivalent to (px+8), we first need to simplify the given expression.
Let's simplify 6x + 3 - (8x - 5) step by step:
Combine like terms: (6x - 8x) + (3 + 5)
This reduces to -2x + 8
For the expression to be equivalent to (px + 8), the x-term coefficient in both expressions should be the same:
-2x (from the simplified expression) must be equal to px (from the expression we're comparing it to).
This means that p = -2.