What is the answer to (2(-1+x))/x-1=0 ?

The answer to (2(-1+x))/x-1=0 is x=2

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(2(-1+x))/x-1=0

\frac{2 ( - 1 + x )}{x} - 1 = 0

x = 2

Solution steps

\frac{2 ( - 1 + x )}{x} - 1 = 0

Multiply both sides by

x

2 (- 1 + x) - x = 0

Expand

2 (- 1 + x) : - 2 + 2 x

- 2 + 2 x - x = 0

Add similar elements:

2 x - x = x

- 2 + x = 0

Move

2

to the right side

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2

\frac{4}{x - 3} = \frac{9}{x + 2}

\frac{5}{k} = \frac{15}{20}

\frac{2 n}{4 n} = \frac{1}{2 n}

(5 k - 1)^{- 2} = k + 5

1 = \frac{10 x ^{2}}{x ^{4} + 25}