What is the answer to 1/(2x-5)=3 ?

The answer to 1/(2x-5)=3 is x= 8/3

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1/(2x-5)=3

\frac{1}{2 x - 5} = 3

x = \frac{8}{3}

Decimal Notation

x = 2.66666 \dots

Solution steps

\frac{1}{2 x - 5} = 3

Multiply both sides by

2 x - 5

1 = 3 (2 x - 5)

Switch sides

3 (2 x - 5) = 1

Divide both sides by

3

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

Move

5

to the right side

2 x = \frac{16}{3}

Divide both sides by

2

x = \frac{8}{3}

Verify Solutions

Find undefined (singularity) points:

x = \frac{5}{2}

Combine undefined points with solutions:

x = \frac{8}{3}

3 = \frac{m - 6}{1 + 6 m}

r, B = \frac{c}{1 - r}

\frac{- 3}{7 + c} = \frac{- 3}{7}

\frac{x ^{2}}{x + 8} - 4 = 0

\frac{x - 12}{x - 18} = 4