For which values of x are the triangles congruent

Answer:
[tex]x=5[/tex]
Step-by-step explanation:
we know that
If triangles DEF and ABC are congruent, then
DF≅AC
DE≅AB
EF≅BC
therefore
[tex]5x-8=3x+2[/tex]
Solve for x
[tex]5x-3x=2+8[/tex]
[tex]2x=10[/tex]
[tex]x=5[/tex]