Solve by plugging in \(0\) for \(y\)
\(3(0)=-4x+24\)
\(0=-4x+24\)
Add \(4x\) to both sides.
\(4x=24\)
Divide both sides by \(4\).
\(x=6\)
Hence, the x-coordinate of the x-intercept is \(6\).
(The x-intercept itself is \((6,0)\)).