(4/x)+5=x+4 ... can you solve this and give me the steps im lost?

Question:

Answers:
( 4 / x ) + 5 = x + 4
( 4 / x ) + 5 - 4 = x + 4 - 4
(4 / x ) + 1 = x
( x )( 4 / x ) + 1 = x • x
4 + 1 = x^2
5 = x^2
x = √5

Multiply through by x to get:

4 + 5x = x^2 + 4x

then

4 = x^2 - 1x

0= x^2 -1x -4

quadratic solve for x

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