What is the answer to 1/x-4=7 ?

The answer to 1/x-4=7 is x= 1/11

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1/x-4=7

\frac{1}{x} - 4 = 7

x = \frac{1}{11}

Decimal Notation

x = 0.09090 \dots

Solution steps

\frac{1}{x} - 4 = 7

Move

4

to the right side

\frac{1}{x} = 11

Multiply both sides by

x

1 = 11 x

Switch sides

11 x = 1

Divide both sides by

11

x = \frac{1}{11}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{11}

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

\frac{t}{t - 4} + 3 = \frac{4}{t - 4}

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

\frac{5 x - 2}{x + 1} = 0

\frac{4}{3 x + 12} = 0