# What is x if #4x+3/x-9=5#?

4x + 3/x -9 = 5

multiplying x by both sides

5x = x ( 4x + 3/x -9)

5.x = 4x.x + 3/x.x -9.x

Taking 5x away from each side

Use the formula for quadratics.

Formula for Quadratic Formula

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To find the value of ( x ), you need to solve the equation ( \frac{4x+3}{x-9} = 5 ).

First, multiply both sides of the equation by ( x - 9 ) to eliminate the fraction:

( (x - 9) \times \frac{4x+3}{x-9} = 5 \times (x - 9) )

This simplifies to:

( 4x + 3 = 5(x - 9) )

Now, distribute the ( 5 ) on the right side:

( 4x + 3 = 5x - 45 )

Next, move the ( 4x ) term to the right side by subtracting ( 4x ) from both sides:

( 3 = 5x - 4x - 45 )

This simplifies to:

( 3 = x - 45 )

Now, add ( 45 ) to both sides to isolate ( x ):

( 3 + 45 = x )

This gives:

( x = 48 )

So, ( x = 48 ).

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