What is the answer to (5x+8)/(5x-1)= 4/9 ?

The answer to (5x+8)/(5x-1)= 4/9 is x=-76/25

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(5x+8)/(5x-1)= 4/9

\frac{5 x + 8}{5 x - 1} = \frac{4}{9}

x = - \frac{76}{25}

Decimal Notation

x = - 3.04

Solution steps

\frac{5 x + 8}{5 x - 1} = \frac{4}{9}

Cross multiply

45 x + 72 = 20 x - 4

Move

72

to the right side

45 x = 20 x - 76

Move

20 x

to the left side

25 x = - 76

Divide both sides by

25

x = - \frac{76}{25}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{5}

Combine undefined points with solutions:

x = - \frac{76}{25}

4 x - \frac{13}{x} = \frac{3}{2}

x + \frac{1}{x} = \frac{17}{4}

0.2 = \frac{x ^{2}}{85 - x}

\frac{n}{n - 3} = \frac{2}{3}

\frac{2}{x + 2} - \frac{7}{x - 5} = 10

What is the answer to (5x+8)/(5x-1)= 4/9 ?
The answer to (5x+8)/(5x-1)= 4/9 is x=-76/25
Solve for x: (5x+8)/(5x-1)= 4/9
The solution is x=-76/25