What is the answer to 7/(x-5)=2 ?

The answer to 7/(x-5)=2 is x= 17/2

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7/(x-5)=2

\frac{7}{x - 5} = 2

x = \frac{17}{2}

Decimal Notation

x = 8.5

Solution steps

\frac{7}{x - 5} = 2

Multiply both sides by

x - 5

7 = 2 (x - 5)

Switch sides

2 (x - 5) = 7

Divide both sides by

2

x - 5 = \frac{7}{2}

Move

5

to the right side

x = \frac{17}{2}

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = \frac{17}{2}

\frac{3 x + 7}{x - 1} = - 1

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

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

\frac{2}{3 x} + \frac{1}{6} = \frac{4}{3 x}

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