What is the answer to (5x)/(x-2)= 1/7 ?

The answer to (5x)/(x-2)= 1/7 is x=-1/17

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(5x)/(x-2)= 1/7

\frac{5 x}{x - 2} = \frac{1}{7}

x = - \frac{1}{17}

Decimal Notation

x = - 0.05882 \dots

Solution steps

\frac{5 x}{x - 2} = \frac{1}{7}

Cross multiply

35 x = x - 2

Move

x

to the left side

34 x = - 2

Divide both sides by

34

x = - \frac{1}{17}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = - \frac{1}{17}

\frac{36 k ^{2} - 6 k - 82}{2 k + 11} = - 3

\frac{51}{21} = \frac{17}{c}

\frac{20}{5} = \frac{40}{x}

m, k = \frac{2 m + 4}{m}

\frac{3 π}{2} = \frac{2 π}{x}

What is the answer to (5x)/(x-2)= 1/7 ?
The answer to (5x)/(x-2)= 1/7 is x=-1/17
Solve for x: (5x)/(x-2)= 1/7
The solution is x=-1/17