-5(3p+4)-12=2(2p+3)

Solution for -5(3p+4)-12=2(2p+3) equation:

Simplifying
-5(3p + 4) + -12 = 2(2p + 3)

Reorder the terms:
-5(4 + 3p) + -12 = 2(2p + 3)
(4 * -5 + 3p * -5) + -12 = 2(2p + 3)
(-20 + -15p) + -12 = 2(2p + 3)

Reorder the terms:
-20 + -12 + -15p = 2(2p + 3)

Combine like terms: -20 + -12 = -32
-32 + -15p = 2(2p + 3)

Reorder the terms:
-32 + -15p = 2(3 + 2p)
-32 + -15p = (3 * 2 + 2p * 2)
-32 + -15p = (6 + 4p)

Solving
-32 + -15p = 6 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-32 + -15p + -4p = 6 + 4p + -4p

Combine like terms: -15p + -4p = -19p
-32 + -19p = 6 + 4p + -4p

Combine like terms: 4p + -4p = 0
-32 + -19p = 6 + 0
-32 + -19p = 6

Add '32' to each side of the equation.
-32 + 32 + -19p = 6 + 32

Combine like terms: -32 + 32 = 0
0 + -19p = 6 + 32
-19p = 6 + 32

Combine like terms: 6 + 32 = 38
-19p = 38

Divide each side by '-19'.
p = -2

Simplifying
p = -2