What is the answer to 9/(3x-2)=1 ?

The answer to 9/(3x-2)=1 is x= 11/3

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9/(3x-2)=1

\frac{9}{3 x - 2} = 1

x = \frac{11}{3}

Decimal Notation

x = 3.66666 \dots

Solution steps

\frac{9}{3 x - 2} = 1

Multiply both sides by

3 x - 2

9 = 3 x - 2

Switch sides

3 x - 2 = 9

Move

2

to the right side

3 x = 11

Divide both sides by

3

x = \frac{11}{3}

Verify Solutions

Find undefined (singularity) points:

x = \frac{2}{3}

Combine undefined points with solutions:

x = \frac{11}{3}

x^{- 2} - x^{- 1} - 42 = 0

\frac{3 x}{8 + 4} = \frac{x - 2}{x}

\frac{x ^{2} - 5 x + 6}{x} = 3

\frac{12}{x + 5} = 4

\frac{4}{n + 5} = \frac{7}{8}