Question

What value of p makes this equation true? 3p − 8 = −23

a. p = -6
b. p = -5
c. p = 5
d. p=6

Answer 1

`\boxed{\sf p=-5}`

Explanation:

`\sf 3p - 8 = -23`

First, rearrange unknown terms to the left side of the equation:

`\sf 3p=-23+8`

Add -23 + 8 = -15

`\sf 3p=-15`

Divide both sides of the equation by the coefficient of variable "3" :

`\sf \cfrac{3p}{3} =\cfrac{-15}{3}`

Cross out common factor:

`\sf p=-5`

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