What is the answer to (x+6)/(x-2)= 5/9 ?

The answer to (x+6)/(x-2)= 5/9 is x=-16

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(x+6)/(x-2)= 5/9

\frac{x + 6}{x - 2} = \frac{5}{9}

x = - 16

Solution steps

\frac{x + 6}{x - 2} = \frac{5}{9}

Cross multiply

9 x + 54 = 5 x - 10

Move

54

to the right side

9 x = 5 x - 64

Move

5 x

to the left side

4 x = - 64

Divide both sides by

4

x = - 16

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = - 16

3 = 2 + \frac{2}{z + 2}

\frac{4}{x} = \frac{13}{4 x} + 3

\frac{5}{x - 4} = \frac{3}{x + 8}

- \frac{2}{x} = \frac{7}{x - 9} - 1

V, d = \frac{m}{V}

What is the answer to (x+6)/(x-2)= 5/9 ?
The answer to (x+6)/(x-2)= 5/9 is x=-16
Solve for x: (x+6)/(x-2)= 5/9
The solution is x=-16