100 POINTS + MARKING BRAINLEIST ANSWER ASAP

Answer:
BC = 15
Given following:
Set up equation:
[tex]AC = AB + BC[/tex]
[tex]\sf 23 = 2x + 2 + 3x + 6[/tex]
and solve:
[tex]\sf 23 = 5x + 8[/tex]
[tex]\sf 5x = 23 - 8[/tex]
[tex]\sf 5x = 15[/tex]
[tex]\sf x = 3[/tex]
Now find BC:
[tex]\sf 3x + 6[/tex]
[tex]\sf 3(3) + 6[/tex]
[tex]\sf 15[/tex]