What is the answer to 2= 2/3-5/x ?

The answer to 2= 2/3-5/x is x=-15/4

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2= 2/3-5/x

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

x = - \frac{15}{4}

Decimal Notation

x = - 3.75

Solution steps

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

Multiply by LCM

6 x = 2 x - 15

Move

2 x

to the left side

4 x = - 15

Divide both sides by

4

x = - \frac{15}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{15}{4}

23 = x^{2} + (\frac{1}{x ^{2}})

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

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

2 - \frac{1}{x} = 1.1

\frac{x}{x - 2} = \frac{( 2 x - 3 )}{x}