100POINTS! SHOW WORK OR I REPORT

If M is the midpoint then then AM is AB/2
[tex]\\ \sf\longmapsto \dfrac{12x+40}{2}=65[/tex]
[tex]\\ \sf\longmapsto 12x+40=65(2)[/tex]
[tex]\\ \sf\longmapsto 12x+40=130[/tex]
[tex]\\ \sf\longmapsto 12x=130-40[/tex]
[tex]\\ \sf\longmapsto 12x=90[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{90}{12}[/tex]
[tex]\\ \sf\longmapsto x=7.5[/tex]