Questions: What is the value of p in the equation 8p+2=4p-10?

What is the value of p in the equation 8p+2=4p-10?
Transcript text: What is the value of $p$ in the equation $8 p+2=4 p-10$?
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Solution

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Solution Steps

To solve for \( p \) in the equation \( 8p + 2 = 4p - 10 \), we need to isolate \( p \). We can do this by first moving all terms involving \( p \) to one side of the equation and the constant terms to the other side. Then, we can solve for \( p \) by dividing both sides by the coefficient of \( p \).

Step 1: Move all terms involving \( p \) to one side

Starting with the equation: \[ 8p + 2 = 4p - 10 \]

Subtract \( 4p \) from both sides: \[ 8p - 4p + 2 = -10 \] \[ 4p + 2 = -10 \]

Step 2: Move constant terms to the other side

Subtract 2 from both sides: \[ 4p + 2 - 2 = -10 - 2 \] \[ 4p = -12 \]

Step 3: Solve for \( p \)

Divide both sides by 4: \[ p = \frac{-12}{4} \] \[ p = -3 \]

Final Answer

\[ \boxed{p = -3} \]

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