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

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

Simplifying
3(p + -3) + -5p = 3(-1p + -2)

Reorder the terms:
3(-3 + p) + -5p = 3(-1p + -2)
(-3 * 3 + p * 3) + -5p = 3(-1p + -2)
(-9 + 3p) + -5p = 3(-1p + -2)

Combine like terms: 3p + -5p = -2p
-9 + -2p = 3(-1p + -2)

Reorder the terms:
-9 + -2p = 3(-2 + -1p)
-9 + -2p = (-2 * 3 + -1p * 3)
-9 + -2p = (-6 + -3p)

Solving
-9 + -2p = -6 + -3p

Solving for variable 'p'.

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

Add '3p' to each side of the equation.
-9 + -2p + 3p = -6 + -3p + 3p

Combine like terms: -2p + 3p = 1p
-9 + 1p = -6 + -3p + 3p

Combine like terms: -3p + 3p = 0
-9 + 1p = -6 + 0
-9 + 1p = -6

Add '9' to each side of the equation.
-9 + 9 + 1p = -6 + 9

Combine like terms: -9 + 9 = 0
0 + 1p = -6 + 9
1p = -6 + 9

Combine like terms: -6 + 9 = 3
1p = 3

Divide each side by '1'.
p = 3

Simplifying
p = 3