What is the answer to 2P + 3 equals seven

Two solutions were found:

p=5

p=-2

Absolute Value Equation entered:

|2p-3|=7

Step by step solution:

Step 1:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

|2p-3| = 7

Step 2:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |2p-3|

For the Negative case we'll use - (2p-3)

For the Positive case we'll use (2p-3)

Step 3:

Solve the Negative Case

- (2p-3) = 7

Multiply

-2p+3 = 7

Rearrange and Add up

-2p = 4

Divide both sides by 2

-p = 2

Multiply both sides by (-1)

p = - 2

Which is the solution for the Negative Case

Step 4:

Solve the Positive Case

(2p-3) = 7

Rearrange and Add up

2p = 10

Divide both sides by 2

p = 5

Which is the solution for the Positive Case

Step 5:

Wrap up the solution

p=-2

p=5

Answer: p=2

Step-by-step explanation:

1: 2p+3=7

2: 2p=4 (subtract 3 from both sides)

3: p=2 (divide both sides by 2