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Answer:
[tex]\overline {BD} =7[/tex]
Step-by-step explanation:
Write down the equation and solve for x.
[tex]2x+3=\frac{1}{2}\left(3x+8\right)\\\\\Rightarrow x=2[/tex]
[tex]\overline {BD} = 2(2)+3=7[/tex]
Best Regards!