3m + 17 = 6m + 5.

What's the value of m?

1 answer

To solve the equation \(3m + 17 = 6m + 5\), we can start by isolating the variable \(m\).

  1. First, subtract \(3m\) from both sides of the equation:

\[ 17 = 6m - 3m + 5 \]

This simplifies to:

\[ 17 = 3m + 5 \]

  1. Next, subtract 5 from both sides:

\[ 17 - 5 = 3m \]

This simplifies to:

\[ 12 = 3m \]

  1. Now, divide both sides by 3 to solve for \(m\):

\[ m = \frac{12}{3} \]

This simplifies to:

\[ m = 4 \]

Thus, the value of \(m\) is \( \boxed{4} \).