What is the answer to (2x)/(x-1)=10 ?

The answer to (2x)/(x-1)=10 is x= 5/4

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(2x)/(x-1)=10

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

x = \frac{5}{4}

Decimal Notation

x = 1.25

Solution steps

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

Multiply both sides by

x - 1

2 x = 10 (x - 1)

Expand

10 (x - 1) : 10 x - 10

2 x = 10 x - 10

Move

10 x

to the left side

- 8 x = - 10

Divide both sides by

- 8

x = \frac{5}{4}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{5}{4}

\frac{1}{( 3 n + 2 ) ^{2}} = 0.005

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

\frac{3 k}{7 k} = \frac{C}{C + 1470}

\frac{x - 1}{x + 1} = \frac{5}{6}

- \frac{2}{5 y} = 4