Answer:
x = 2
Step-by-step explanation:
If a line is parallel to a side of a triangle and it intersects the other 2 sides then it divides those sides proportionally, that is
[tex]\frac{6x+2}{x +5}[/tex] = [tex]\frac{24-8}{8}[/tex] = [tex]\frac{16}{8}[/tex] = 2 ( multiply both sides by x + 5 )
6x + 2 = 2(x + 5)
6x + 2 = 2x + 10 ( subtract 2x from both sides )
4x + 2 = 10 ( subtract 2 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
