What is the answer to 2=(x+7)/(x-9) ?

The answer to 2=(x+7)/(x-9) is x=25

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2=(x+7)/(x-9)

2 = \frac{x + 7}{x - 9}

x = 25

Solution steps

2 = \frac{x + 7}{x - 9}

Multiply both sides by

x - 9

2 (x - 9) = x + 7

Expand

2 (x - 9) : 2 x - 18

2 x - 18 = x + 7

Move

18

to the right side

2 x = x + 25

Move

x

to the left side

x = 25

Verify Solutions

Find undefined (singularity) points:

x = 9

Combine undefined points with solutions:

x = 25

x^{2} = \frac{1}{x + 3}

x + \frac{1}{x} = 143

\frac{96}{v} = 6

\frac{6}{x} + \frac{2 x}{3} = 5

\frac{4}{2 + x} = \frac{7}{x + 3}