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

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

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x/(x+2)=2

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

x = - 4

Solution steps

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

Multiply both sides by

x + 2

x = 2 (x + 2)

Expand

2 (x + 2) : 2 x + 4

x = 2 x + 4

Move

2 x

to the left side

- x = 4

Divide both sides by

- 1

x = - 4

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - 4

\frac{1}{x} = \frac{x}{4}

\frac{4}{x} = 12

\frac{3}{2 ( 4 x ^{2} - 20 x + 60 )} = 0

5 = (\frac{500}{500 + x}) 100

\frac{8 - 3 x}{4 x} + 1 = \frac{2}{x}