What is the answer to (6-x)/x =10 ?

The answer to (6-x)/x =10 is x= 6/11

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(6-x)/x =10

\frac{6 - x}{x} = 10

x = \frac{6}{11}

Decimal Notation

x = 0.54545 \dots

Solution steps

\frac{6 - x}{x} = 10

Multiply both sides by

x

6 - x = 10 x

Move

6

to the right side

- x = 10 x - 6

Move

10 x

to the left side

- 11 x = - 6

Divide both sides by

- 11

x = \frac{6}{11}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{6}{11}

\frac{1}{x ^{2} + 1} = 0

\frac{2}{x} = 6

t, a = \frac{b t}{t - c}

x, \frac{2}{x} + y = 5

y, 2 x + \frac{1}{y} = 3