What is the answer to 9/(4x)-7/4 =-4 ?

The answer to 9/(4x)-7/4 =-4 is x=-1

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9/(4x)-7/4 =-4

\frac{9}{4 x} - \frac{7}{4} = - 4

x = - 1

Solution steps

\frac{9}{4 x} - \frac{7}{4} = - 4

Multiply by LCM

9 - 7 x = - 16 x

Move

9

to the right side

- 7 x = - 16 x - 9

Move

16 x

to the left side

9 x = - 9

Divide both sides by

9

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 1

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

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

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

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

\frac{1}{x + 4} + 4 = \frac{21}{x + 4}