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

Solution for 3(p+2)=5(p-1) equation:

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

Reorder the terms:
3(2 + p) = 5(p + -1)
(2 * 3 + p * 3) = 5(p + -1)
(6 + 3p) = 5(p + -1)

Reorder the terms:
6 + 3p = 5(-1 + p)
6 + 3p = (-1 * 5 + p * 5)
6 + 3p = (-5 + 5p)

Solving
6 + 3p = -5 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
6 + 3p + -5p = -5 + 5p + -5p

Combine like terms: 3p + -5p = -2p
6 + -2p = -5 + 5p + -5p

Combine like terms: 5p + -5p = 0
6 + -2p = -5 + 0
6 + -2p = -5

Add '-6' to each side of the equation.
6 + -6 + -2p = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -2p = -5 + -6
-2p = -5 + -6

Combine like terms: -5 + -6 = -11
-2p = -11

Divide each side by '-2'.
p = 5.5

Simplifying
p = 5.5