since the angles at the "base" are twins, namely B and C, that simply means the segments making them, are also twins, namely AB = AC, that makes the triangle an isosceles one.
and since AB = AC, then
[tex]\bf \stackrel{AB}{8x-4}=\stackrel{AC}{5x+11}\implies 3x=15\implies x=\cfrac{15}{3}\implies x=5[/tex]
and since BC is 4x - 2, then 4(5) - 2.
