Question

Solve for x
4/x - 3 = 5/2x+3; x is not equal to 0 or -3/2

Answer 1

Hi friend
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Your answer
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4/x - 3 = 5/2x + 3

=> (4 - 3x)/x = (5 + 6x)/2x

=> (4 - 3x ) = (5 + 6x)/2 [ cancelling x from the denominator of both sides]

=> 2(4 - 3x) = (5 + 6x)

=> 8 - 6x = 5 + 6x

=> - 6x - 6x = 5 - 8

=> - 12x = - 3

=> 12x = 3

=> x = 3/12

=> x = 1/4

HOPE IT HELPS

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Answer 2

⇒4/x-3=5/2x+3
⇒4-3x/x=5/2x+3
⇒(4-3x)(2x+3)=5(x)                                  (transposing the denominators)
⇒8x+12-6x²-9x=5x
⇒6x²+6x-12
⇒6x²+12x-6x-12
⇒6x(x+2)-6(x+2)
⇒(6x-6)(x+2)

then x=6/6⇒1
        x⇒-2

:) Hope this helps!!!!!