What is the answer to 2=(x+4)/(x-5) ?

The answer to 2=(x+4)/(x-5) is x=14

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2=(x+4)/(x-5)

2 = \frac{x + 4}{x - 5}

x = 14

Solution steps

2 = \frac{x + 4}{x - 5}

Multiply both sides by

x - 5

2 (x - 5) = x + 4

Expand

2 (x - 5) : 2 x - 10

2 x - 10 = x + 4

Move

10

to the right side

2 x = x + 14

Move

x

to the left side

x = 14

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = 14

\frac{4}{0.7071 x} = 10

\frac{x}{x + 4} + \frac{7}{x - 2} = 1

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

c = 3 \cdot 1 0^{8} \frac{m}{s}

x^{2} + x^{- 2} - 6 = 0