9x-7÷3x+5=3x-4÷x+6 find x
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Question:
____________
9x-7÷3x+5=3x-4÷x+6 find x
Answer:
__________
9x - 7 = 3x - 4
3x + 5 x + 6
=> ( 9x - 7 )( x + 6 ) = ( 3x - 4 )( 3x + 5 )
=> 9x( x + 6 ) -7( x + 6 ) = 3x( 3x + 5 ) -4( 3x + 5 )
=> 9x^2 + 54x - 7x - 42 = 9x^2 + 15x - 12x - 20
=> 9x^2 + 47x - 42 = 9x^2 + 3x - 20
=> 9x^2 - 9x^2 + 47x - 3x = - 20 + 42
=> 44x = 22
=> x = 22/44
=> x = 1/2
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