Which of the following is a solution of 5(4-p)=3(p+4).
me.

5(4 + -1p) = 3(p + 4)
(4 * 5 + -1p * 5) = 3(p + 4)
(20 + -5p) = 3(p + 4)

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

Solving
20 + -5p = 12 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
20 + -5p + -3p = 12 + 3p + -3p

Combine like terms: -5p + -3p = -8p
20 + -8p = 12 + 3p + -3p

Combine like terms: 3p + -3p = 0
20 + -8p = 12 + 0
20 + -8p = 12

Add '-20' to each side of the equation.
20 + -20 + -8p = 12 + -20

Combine like terms: 20 + -20 = 0
0 + -8p = 12 + -20
-8p = 12 + -20

Combine like terms: 12 + -20 = -8
-8p = -8

Divide each side by '-8'.
p = 1

Simplifying
p = 1

5(4-p)=3(p+4)
20-5p=3p+12
collect like terms
-8p=-8
divide both sides by its coefficient
p=1