What is the answer to 3/(x-5)=6 ?

The answer to 3/(x-5)=6 is x= 11/2

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3/(x-5)=6

\frac{3}{x - 5} = 6

x = \frac{11}{2}

Decimal Notation

x = 5.5

Solution steps

\frac{3}{x - 5} = 6

Multiply both sides by

x - 5

3 = 6 (x - 5)

Switch sides

6 (x - 5) = 3

Divide both sides by

6

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

Move

5

to the right side

x = \frac{11}{2}

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = \frac{11}{2}

\frac{x ^{2} - 3 x - 4}{x + 1} = 0

\frac{x}{2} - 3 + \frac{4}{x} = 0

\frac{3 y + 5}{6 y - 4} = \frac{3}{4}

\frac{2}{6} + \frac{1}{2 x} = \frac{1}{3}

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