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

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

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(3-x)/(9x-2)=1

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

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

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

Multiply both sides by

9 x - 2

3 - x = 9 x - 2

Move

3

to the right side

- x = 9 x - 5

Move

9 x

to the left side

- 10 x = - 5

Divide both sides by

- 10

x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = \frac{2}{9}

Combine undefined points with solutions:

x = \frac{1}{2}

\frac{2}{x - 1} = \frac{5}{x + 2}

\frac{3}{x - 5} = 6

\frac{x ^{2} - 3 x - 4}{x + 1} = 0

\frac{x}{2} - 3 + \frac{4}{x} = 0

\frac{3 y + 5}{6 y - 4} = \frac{3}{4}