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

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

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

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

x = - 2

Solution steps

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

Multiply by LCM

14 - x = - 8 x

Move

14

to the right side

- x = - 8 x - 14

Move

8 x

to the left side

7 x = - 14

Divide both sides by

7

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 2

\frac{1}{( x + 1 ) ^{2}} = 0

\frac{2}{x} = \frac{x}{4 x - 6}

\frac{1}{x + 6} + \frac{2}{3 - x} = 5

\frac{x ^{2} + 5 x + 6}{x + 3} = 1

\frac{6}{x} = 0