What is the answer to 1/(3x-4)=5 ?

The answer to 1/(3x-4)=5 is x= 7/5

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1/(3x-4)=5

\frac{1}{3 x - 4} = 5

x = \frac{7}{5}

Decimal

x = 1.4

Solution steps

\frac{1}{3 x - 4} = 5

Multiply both sides by

3 x - 4

1 = 5 (3 x - 4)

Switch sides

5 (3 x - 4) = 1

Divide both sides by

5

3 x - 4 = \frac{1}{5}

Move

4

to the right side

3 x = \frac{21}{5}

Divide both sides by

3

x = \frac{7}{5}

Verify Solutions

Find undefined (singularity) points:

x = \frac{4}{3}

Combine undefined points with solutions:

x = \frac{7}{5}

\frac{x ^{10} - m ^{10}}{x ^{2} + m ^{2}}

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

x, \frac{2}{x} = 1.32588

\frac{x ^{2}}{x - 6} = \frac{36}{x - 6}

\frac{5 - x}{x - 2} + \frac{3}{x ^{2} - 4} = 2