What is the answer to (3x-7/2)/(2x)=5 ?

The answer to (3x-7/2)/(2x)=5 is x=-1/2

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(3x-7/2)/(2x)=5

\frac{3 x - \frac{7}{2}}{2 x} = 5

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

\frac{3 x - \frac{7}{2}}{2 x} = 5

Simplify

\frac{3 x - \frac{7}{2}}{2 x} : \frac{6 x - 7}{4 x}

\frac{6 x - 7}{4 x} = 5

Multiply both sides by

x

\frac{6 x - 7}{4} = 5 x

Multiply both sides by

4

6 x - 7 = 20 x

Move

7

to the right side

6 x = 20 x + 7

Move

20 x

to the left side

- 14 x = 7

Divide both sides by

- 14

x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{2}

\frac{1}{4 - y} + \frac{1}{y} - 8 = 0

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

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

y, C = \frac{r}{y}

1 = (- 4) (\frac{p}{340 - 4 p}), p