3(p-5)=-2p

Solution for 3(p-5)=-2p equation:

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

Reorder the terms:
3(-5 + p) = -2p
(-5 * 3 + p * 3) = -2p
(-15 + 3p) = -2p

Solving
-15 + 3p = -2p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '2p' to each side of the equation.
-15 + 3p + 2p = -2p + 2p

Combine like terms: 3p + 2p = 5p
-15 + 5p = -2p + 2p

Combine like terms: -2p + 2p = 0
-15 + 5p = 0

Add '15' to each side of the equation.
-15 + 15 + 5p = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 5p = 0 + 15
5p = 0 + 15

Combine like terms: 0 + 15 = 15
5p = 15

Divide each side by '5'.
p = 3

Simplifying
p = 3