solve the equation 6p = 2(5 - 2p)

Question

first divide both sides by 2 and simplify

6p = 2(5 - 2p)
6p divided by 2 = 2(5 - 2p) divided by 2

__p = 5 - 2p

Answer 1

Let's follow your steps to solve the equation \( 6p = 2(5 - 2p) \).

First, divide both sides by 2:

\[ \frac{6p}{2} = \frac{2(5 - 2p)}{2} \]

This simplifies to:

\[ 3p = 5 - 2p \]

Now, we need to isolate \( p \). To do this, add \( 2p \) to both sides:

\[ 3p + 2p = 5 \]

This simplifies to:

\[ 5p = 5 \]

Now, divide both sides by 5:

\[ p = 1 \]

So the solution to the equation is:

\[ p = 1 \]