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

The answer to 5/(2x)-4/x =3 is x=-1/2

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5/(2x)-4/x =3

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

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

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

Multiply by LCM

- 3 = 6 x

Switch sides

6 x = - 3

Divide both sides by

6

x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{2}

\frac{2}{2 x - 1} = \frac{4}{3 x + 2}

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

\frac{3 x - 5}{x - 3} = 0

y, x = \frac{y}{x y - 1}

\frac{1}{x} - 1 = 0