-5(4p+3)-25=3(2p+4)

Solution for -5(4p+3)-25=3(2p+4) equation:

Simplifying
-5(4p + 3) + -25 = 3(2p + 4)

Reorder the terms:
-5(3 + 4p) + -25 = 3(2p + 4)
(3 * -5 + 4p * -5) + -25 = 3(2p + 4)
(-15 + -20p) + -25 = 3(2p + 4)

Reorder the terms:
-15 + -25 + -20p = 3(2p + 4)

Combine like terms: -15 + -25 = -40
-40 + -20p = 3(2p + 4)

Reorder the terms:
-40 + -20p = 3(4 + 2p)
-40 + -20p = (4 * 3 + 2p * 3)
-40 + -20p = (12 + 6p)

Solving
-40 + -20p = 12 + 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.
-40 + -20p + -6p = 12 + 6p + -6p

Combine like terms: -20p + -6p = -26p
-40 + -26p = 12 + 6p + -6p

Combine like terms: 6p + -6p = 0
-40 + -26p = 12 + 0
-40 + -26p = 12

Add '40' to each side of the equation.
-40 + 40 + -26p = 12 + 40

Combine like terms: -40 + 40 = 0
0 + -26p = 12 + 40
-26p = 12 + 40

Combine like terms: 12 + 40 = 52
-26p = 52

Divide each side by '-26'.
p = -2

Simplifying
p = -2