What is the answer to 2=(x+7)/(x-10) ?

The answer to 2=(x+7)/(x-10) is x=27

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2=(x+7)/(x-10)

2 = \frac{x + 7}{x - 10}

x = 27

Solution steps

2 = \frac{x + 7}{x - 10}

Multiply both sides by

x - 10

2 (x - 10) = x + 7

Expand

2 (x - 10) : 2 x - 20

2 x - 20 = x + 7

Move

20

to the right side

2 x = x + 27

Move

x

to the left side

x = 27

Verify Solutions

Find undefined (singularity) points:

x = 10

Combine undefined points with solutions:

x = 27

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50 = \frac{1}{x}

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

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\frac{24}{100} = \frac{30}{x}