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

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

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

Reorder the terms:
2(-3 + 2p) = 2(3p + 5)
(-3 * 2 + 2p * 2) = 2(3p + 5)
(-6 + 4p) = 2(3p + 5)

Reorder the terms:
-6 + 4p = 2(5 + 3p)
-6 + 4p = (5 * 2 + 3p * 2)
-6 + 4p = (10 + 6p)

Solving
-6 + 4p = 10 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-6 + 4p + -6p = 10 + 6p + -6p

Combine like terms: 4p + -6p = -2p
-6 + -2p = 10 + 6p + -6p

Combine like terms: 6p + -6p = 0
-6 + -2p = 10 + 0
-6 + -2p = 10

Add '6' to each side of the equation.
-6 + 6 + -2p = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -2p = 10 + 6
-2p = 10 + 6

Combine like terms: 10 + 6 = 16
-2p = 16

Divide each side by '-2'.
p = -8

Simplifying
p = -8