What is the answer to 1-3/(2x)= 7/4 ?

The answer to 1-3/(2x)= 7/4 is x=-2

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1-3/(2x)= 7/4

1 - \frac{3}{2 x} = \frac{7}{4}

x = - 2

Solution steps

1 - \frac{3}{2 x} = \frac{7}{4}

Multiply by LCM

4 x - 6 = 7 x

Move

6

to the right side

4 x = 7 x + 6

Move

7 x

to the left side

- 3 x = 6

Divide both sides by

- 3

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 2

\frac{1}{x} + \frac{5}{x - 9} = 0

\frac{- 2}{3 x + 15} = - 20

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

\frac{2 x + 1}{2 x - 1} - \frac{2 x - 1}{2 x + 1} = 6

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