What is the answer to 6/(2x)-5/x =2 ?

The answer to 6/(2x)-5/x =2 is x=-1

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6/(2x)-5/x =2

\frac{6}{2 x} - \frac{5}{x} = 2

x = - 1

Solution steps

\frac{6}{2 x} - \frac{5}{x} = 2

Simplify

\frac{6}{2 x} : \frac{3}{x}

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

Multiply both sides by

x

- 2 = 2 x

Switch sides

2 x = - 2

Divide both sides by

2

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 1

\frac{n}{na} = 14

x + \frac{1}{x} = 2 \frac{1}{12}

\frac{( 2 x - 3 )}{( x + 7 ) - 6 !} = 0

\frac{10}{t} = 5

\frac{2 ( - x ^{2} + 18 )}{x ^{5}} = 0