13-3p=-5(3+2p)

Distribute the -5.

13-3p=-15-10p

Arrange the equation so all of the numbers with "P" are on the same side.
7p=-28

Divide both sides by 7.
p=-4

To solve the equation 13-3p=-5(3+2p), we can follow these steps:

Step 1: Distribute the -5 to the terms inside the parentheses:
13 - 3p = -15 - 10p

Step 2: Combine like terms on both sides of the equation:
13 + 15 = -3p - 10p

Simplifying further:
28 = -13p

Step 3: Isolate the variable on one side of the equation. To do this, we divide both sides of the equation by -13:
28 / -13 = -13p / -13

Simplifying further:
-28/13 = p

Therefore, the solution to the equation 13-3p=-5(3+2p) is p = -28/13.