What is the answer to 2= 4/3-5/x ?

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

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2= 4/3-5/x

2 = \frac{4}{3} - \frac{5}{x}

x = - \frac{15}{2}

Decimal Notation

x = - 7.5

Solution steps

2 = \frac{4}{3} - \frac{5}{x}

Multiply by LCM

6 x = 4 x - 15

Move

4 x

to the left side

2 x = - 15

Divide both sides by

2

x = - \frac{15}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{15}{2}

\frac{48}{x} = - 8

\frac{10}{2 x + 4} = \frac{4}{x + 5}

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

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

x + \frac{1}{x} = 6