Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Since AB bisects AC, AB = BC.
[tex]x+12=6x-23[/tex]
Subtract 12 from both sides:
[tex]x+12-12=6x-23-12[/tex]
[tex]x=6x-35[/tex]
Subtract 6x from both sides:
[tex]x-6x=6x-35-6x[/tex]
[tex]-5x=-35[/tex]
Divide both sides by -5:
[tex]\frac{-5x}{-5}=\frac{-35}{-5}[/tex]
[tex]x=7[/tex]
