What is the answer to (9x)/(7-6x)=15 ?

The answer to (9x)/(7-6x)=15 is x= 35/33

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(9x)/(7-6x)=15

\frac{9 x}{7 - 6 x} = 15

x = \frac{35}{33}

Decimal Notation

x = 1.06060 \dots

Solution steps

\frac{9 x}{7 - 6 x} = 15

Multiply both sides by

7 - 6 x

9 x = 15 (7 - 6 x)

Expand

15 (7 - 6 x) : 105 - 90 x

9 x = 105 - 90 x

Move

90 x

to the left side

99 x = 105

Divide both sides by

99

x = \frac{35}{33}

Verify Solutions

Find undefined (singularity) points:

x = \frac{7}{6}

Combine undefined points with solutions:

x = \frac{35}{33}

x^{- 3} = \frac{1}{8}

\frac{3}{a + 3} - \frac{1}{a - 2} = 5

7 x^{- 2} - 23 x^{- 1} + 6 = 0

\frac{4 x}{x + 2} = 7 - \frac{8}{x + 2}

\frac{x - 8}{x - 2} = \frac{- 5}{x}