-2(-4p-3)=-5[-4p+2(p-3)]

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

Simplifying
-2(-4p + -3) = -5[-4p + 2(p + -3)]

Reorder the terms:
-2(-3 + -4p) = -5[-4p + 2(p + -3)]
(-3 * -2 + -4p * -2) = -5[-4p + 2(p + -3)]
(6 + 8p) = -5[-4p + 2(p + -3)]

Reorder the terms:
6 + 8p = -5[-4p + 2(-3 + p)]
6 + 8p = -5[-4p + (-3 * 2 + p * 2)]
6 + 8p = -5[-4p + (-6 + 2p)]

Reorder the terms:
6 + 8p = -5[-6 + -4p + 2p]

Combine like terms: -4p + 2p = -2p
6 + 8p = -5[-6 + -2p]
6 + 8p = [-6 * -5 + -2p * -5]
6 + 8p = [30 + 10p]

Solving
6 + 8p = 30 + 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
6 + 8p + -10p = 30 + 10p + -10p

Combine like terms: 8p + -10p = -2p
6 + -2p = 30 + 10p + -10p

Combine like terms: 10p + -10p = 0
6 + -2p = 30 + 0
6 + -2p = 30

Add '-6' to each side of the equation.
6 + -6 + -2p = 30 + -6

Combine like terms: 6 + -6 = 0
0 + -2p = 30 + -6
-2p = 30 + -6

Combine like terms: 30 + -6 = 24
-2p = 24

Divide each side by '-2'.
p = -12

Simplifying
p = -12