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

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

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

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

x = - 7

Solution steps

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

Multiply by LCM

- 7 + x = 2 x

Move

7

to the right side

x = 2 x + 7

Move

2 x

to the left side

- x = 7

Divide both sides by

- 1

x = - 7

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 7

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

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

\frac{3 V}{V ^{3}} = - 0.004

x - \frac{18}{x} = 7

0 = \frac{36 - x ^{2}}{x ^{2} + 6 x}