if B D equals b c b d equals 5x - 26 BC equals 2x + 1 and a C equals 43 find a b

Given the information
BD=BC
where
BD= 5x-26
BC=2x+1
then
[tex]5x-26=2x+1[/tex][tex]5x-2x=1+26[/tex][tex]3x=27[/tex][tex]x=\frac{27}{3}=9[/tex]Since
AB= AC-BC
where
BC=2x+1
BC= 2(9)+1 = 19
AC=43
[tex]AB=43-19=24[/tex]