Someone know the answer to this

Given:
in rectangle ABCD, BE = 3x + 5, AC = 40
To find:
X = ?
Solution:
AC = BD - Diagonal of rectangle are always equal
now BD = 40 units .....( i )
BE = ED, the diagonal of rectangle bisect each other in equal half
now, BD = BE + BD ...( ii )
BD = BE +BE from ..( ii )
40 = 2BE
BE = 20
3x + 5 = 20 ... from given
3x = 15
x= 5
Answer- The value of x is 5 units
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