What is the answer to (5x-4)/(5x+4)= 5/6 ?

The answer to (5x-4)/(5x+4)= 5/6 is x= 44/5

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(5x-4)/(5x+4)= 5/6

\frac{5 x - 4}{5 x + 4} = \frac{5}{6}

x = \frac{44}{5}

Decimal Notation

x = 8.8

Solution steps

\frac{5 x - 4}{5 x + 4} = \frac{5}{6}

Cross multiply

30 x - 24 = 25 x + 20

Move

24

to the right side

30 x = 25 x + 44

Move

25 x

to the left side

5 x = 44

Divide both sides by

5

x = \frac{44}{5}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{4}{5}

Combine undefined points with solutions:

x = \frac{44}{5}

y, \frac{y}{2 - y} = x

\frac{s}{2 t} = 10, t

\frac{5}{6 x} = \frac{4}{5 x}

x, \frac{6}{x - 1} = 2

\frac{- 82.3}{t} = 18

What is the answer to (5x-4)/(5x+4)= 5/6 ?
The answer to (5x-4)/(5x+4)= 5/6 is x= 44/5
Solve for x: (5x-4)/(5x+4)= 5/6
The solution is x= 44/5