What is the answer to 1/(x-3)=4 ?

The answer to 1/(x-3)=4 is x= 13/4

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1/(x-3)=4

\frac{1}{x - 3} = 4

x = \frac{13}{4}

Decimal Notation

x = 3.25

Solution steps

\frac{1}{x - 3} = 4

Multiply both sides by

x - 3

1 = 4 (x - 3)

Switch sides

4 (x - 3) = 1

Divide both sides by

4

x - 3 = \frac{1}{4}

Move

3

to the right side

x = \frac{13}{4}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{13}{4}

\frac{24}{x} = 0

\frac{x ^{2} - 9}{x + 3} = x^{2} - 15

\frac{1}{x} + \frac{1}{3 x} = 4

\frac{7 x}{8 - 3 x} = 15

- \frac{2}{x - 1} = 4