What is the answer to 2=(x+8)/(x-2) ?

The answer to 2=(x+8)/(x-2) is x=12

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2=(x+8)/(x-2)

2 = \frac{x + 8}{x - 2}

x = 12

Solution steps

2 = \frac{x + 8}{x - 2}

Multiply both sides by

x - 2

2 (x - 2) = x + 8

Expand

2 (x - 2) : 2 x - 4

2 x - 4 = x + 8

Move

4

to the right side

2 x = x + 12

Move

x

to the left side

x = 12

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 12

(\frac{1400}{y} - 3) (y - 3) = 1175

\frac{2}{2 x - 1} = \frac{5}{x + 1}

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

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

x^{2} + x^{- 2} = 7