Solve the equation. What is the value of m?

Question

One way you can start solving is to make sure there are only m terms on one side. What move can you make to both sides of the equation to get rid of the
3
2
​
m on the left, while keeping the equation balanced?
3
2
​
m + 5
=
m + 15

Multiply both sides by
3
2
​
m

Divide both sides by
3
2
​
m

Add
3
2
​
m to both
sides

Subtract
3
2
​
m from both
sides

Answer 1

To isolate \( m \) in the equation \( \frac{3}{2} m + 5 = m + 15 \), you can start by getting rid of the \( \frac{3}{2} m \) term on the left side. The appropriate move to keep the equation balanced is to subtract \( \frac{3}{2} m \) from both sides.

So, the correct action is:

Subtract \( \frac{3}{2} m \) from both sides.

After performing that step, the equation would look like this:

\[ 5 = m - \frac{3}{2} m + 15 \]

From there, you can combine like terms and solve for \( m \). Would you like me to continue solving it?