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

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

Solution

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: \[ p = \frac{-12}{4} \] \[ p = -3 \]