Solve the equation for \( x: \quad y-5=m(x-2) \)

To solve the equation \( y - 5 = m(x - 2) \) for \( x \), start by isolating \( x \). First, add 5 to both sides to get: \[ y = m(x - 2) + 5 \] Next, subtract 5 from both sides: \[ y - 5 = m(x - 2) \] Now, divide both sides by \( m \) (assuming \( m \neq 0 \)): \[ \frac{y - 5}{m} = x - 2 \] Finally, add 2 to both sides to isolate \( x \): \[ x = \frac{y - 5}{m} + 2 \] And there you have it! If you plug in values for \( y \) and \( m \), you can easily calculate \( x \).