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

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

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

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

x = - 1

Solution steps

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

Multiply by LCM

7 x - 7 = 14 x

Move

7

to the right side

7 x = 14 x + 7

Move

14 x

to the left side

- 7 x = 7

Divide both sides by

- 7

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 1

u, T = \frac{v}{1 + uv w}

\frac{x ^{2}}{x ^{2} - 9} = 0

\frac{20}{54} = \frac{12}{x}

\frac{131000}{x} = 417000

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