Question

The solution of the equation 3(p - 5) = 5p -27 is

A) p = 6
B) p = 5
C) p = 4
D) p = 3​

Answer 1

• 3(p-5)=5p-27
• 3p-15=5p-27
• 5p-3p=-15+27
• 2p=12
• p=6

Answer 2

A) p = 6

Explanation:

Given equation:

3(p - 5) = 5p -27

Apply the Distributive Property of Multiplication over subtraction law:

⇒ 3 · p - 3 · 5 = 5p - 27

⇒ 3p - 15 = 5p - 27

Add 27 to both sides:

⇒ 3p - 15 + 27 = 5p - 27 + 27

⇒ 3p + 12 = 5p

Subtract 3p from both sides:

⇒ 3p - 3p + 12 = 5p - 3p

⇒ 12 = 2p

⇒ 2p = 12

Divide both sides by 2:

⇒ 2p ÷ 2 = 12 ÷ 2

⇒ p = 6