Answer:
x =
![(16)/(3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/domhvmysotyptge6gc32i7vxf9d7rudwk1.png)
Explanation:
Since the triangles are similar then the corresponding sides are congruent.
EF and BC are corresponding sides , then
8x - 3 = 5x + 13 ( subtract 5x from both sides )
3x - 3 = 13 ( add 3 to both sides )
3x = 16 ( divide both sides by 3 )
x =
![(16)/(3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/domhvmysotyptge6gc32i7vxf9d7rudwk1.png)