imc

Using the point-slope form, the equation of each line is $$y-15=3(x-10)⟶y=3x-15$$ $$y-15=5(x-10)⟶y=5x-35$$ Substitute in $y=0$ to find the $x$-intercepts. $$0=3x-15⟶x=5$$ $$0=5x-35⟶x=7$$ The difference between them is $7-5=\boxed{2}$.