-5(2p+3)-36=3(5p+8)

Solution for -5(2p+3)-36=3(5p+8) equation:

Simplifying
-5(2p + 3) + -36 = 3(5p + 8)

Reorder the terms:
-5(3 + 2p) + -36 = 3(5p + 8)
(3 * -5 + 2p * -5) + -36 = 3(5p + 8)
(-15 + -10p) + -36 = 3(5p + 8)

Reorder the terms:
-15 + -36 + -10p = 3(5p + 8)

Combine like terms: -15 + -36 = -51
-51 + -10p = 3(5p + 8)

Reorder the terms:
-51 + -10p = 3(8 + 5p)
-51 + -10p = (8 * 3 + 5p * 3)
-51 + -10p = (24 + 15p)

Solving
-51 + -10p = 24 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
-51 + -10p + -15p = 24 + 15p + -15p

Combine like terms: -10p + -15p = -25p
-51 + -25p = 24 + 15p + -15p

Combine like terms: 15p + -15p = 0
-51 + -25p = 24 + 0
-51 + -25p = 24

Add '51' to each side of the equation.
-51 + 51 + -25p = 24 + 51

Combine like terms: -51 + 51 = 0
0 + -25p = 24 + 51
-25p = 24 + 51

Combine like terms: 24 + 51 = 75
-25p = 75

Divide each side by '-25'.
p = -3

Simplifying
p = -3