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

The answer to -7/(2x)+1/(2x)=1 is x=-3

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

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

x = - 3

Solution steps

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

Multiply both sides by

2 x

- 6 = 2 x

Switch sides

2 x = - 6

Divide both sides by

2

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 3

\frac{4}{x} = \frac{1}{4 x} + 3

7 = \frac{10}{2 x + 3} + 5

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

\frac{48}{x} = - 8

\frac{10}{2 x + 4} = \frac{4}{x + 5}