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Answer :

Answer:

        x = 4  

Step-by-step explanation:

DE║AC  ⇒   From Thales:  [tex]\dfrac{BD}{BE}=\dfrac{DA}{EC}[/tex]

Therefore:

                 [tex]\dfrac{10-x}{3}=\dfrac{x}2\\\\2(10-x)=3x\\\\20-2x=3x\\\\20=5x\\\\x=4[/tex]