Question

Solve the equation p - 12 = 8 - 5(p - 2).

A) p = -3
B) p = -1 1/2
C) p = 3
D) p = 5

Answer 1

To solve the equation p - 12 = 8 - 5(p - 2), distribute the -5 to both terms inside the parentheses, combine like terms, add 5p to both sides, add 12 to both sides, and divide both sides by 6. The solution to the equation is p = 5.

Step-by-step explanation:

To solve the equation p - 12 = 8 - 5(p - 2):

1. Distribute the -5 to both terms inside the parentheses: p - 12 = 8 - 5p + 10
2. Combine like terms: p - 12 = -5p + 18
3. Add 5p to both sides: 6p - 12 = 18
4. Add 12 to both sides: 6p = 30
5. Divide both sides by 6: p = 5

Therefore, the solution to the equation is p = 5.