What is the answer to (x+7)/(-2x)= 5/4 ?

The answer to (x+7)/(-2x)= 5/4 is x=-2

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(x+7)/(-2x)= 5/4

\frac{x + 7}{- 2 x} = \frac{5}{4}

x = - 2

Solution steps

\frac{x + 7}{- 2 x} = \frac{5}{4}

Cross multiply

- 4 x - 28 = 10 x

Move

28

to the right side

- 4 x = 10 x + 28

Move

10 x

to the left side

- 14 x = 28

Divide both sides by

- 14

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 2

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

X + \frac{1}{X} = 3

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

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

- 18 x + 36 = \frac{16 x - 12}{x + 18}