What is the answer to 2= 3/7-6/x ?

The answer to 2= 3/7-6/x is x=-42/11

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2= 3/7-6/x

2 = \frac{3}{7} - \frac{6}{x}

x = - \frac{42}{11}

Decimal Notation

x = - 3.81818 \dots

Solution steps

2 = \frac{3}{7} - \frac{6}{x}

Multiply by LCM

14 x = 3 x - 42

Move

3 x

to the left side

11 x = - 42

Divide both sides by

11

x = - \frac{42}{11}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{42}{11}

\frac{x}{x - 1} + 8 = \frac{1}{x - 1}

(\frac{8}{x}) + 2 = 4

\frac{2}{x} = - 4

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

b = \frac{c}{1 - t}