3(p-2)=5p+2

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

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

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

Reorder the terms:
-6 + 3p = 2 + 5p

Solving
-6 + 3p = 2 + 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 = 2 + 5p + -5p

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

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

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

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

Combine like terms: 2 + 6 = 8
-2p = 8

Divide each side by '-2'.
p = -4

Simplifying
p = -4