Given that BD = 3 x+ 5,
AE = 5 x + 19
( 5 x + 19 ) / ( 3 x+ 5 ) = 2
cross- multiply, we have :
5 x + 1 9 = 2 ( 3 x+ 5 )
5 x + 19 = 6x + 10
collecting like terms , we have :
19 - 10 = 6 x - 5 x
x= 9
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