What is the answer to -2/(x-1)=4 ?

The answer to -2/(x-1)=4 is x= 1/2

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-2/(x-1)=4

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

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

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

Multiply both sides by

x - 1

- 2 = 4 (x - 1)

Switch sides

4 (x - 1) = - 2

Divide both sides by

4

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

Move

1

to the right side

x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{1}{2}

\frac{x}{x + 1} = \frac{5}{x + 5}

\frac{3}{5} = \frac{15}{x}

\frac{18}{x} = 6

\frac{4}{x} = \frac{2}{21}

\frac{x ^{2} - 3 x - 10}{1 - x} = 2