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

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

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2/(x+2)= 4/x

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

x = - 4

Solution steps

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

Cross multiply

2 x = 4 x + 8

Move

4 x

to the left side

- 2 x = 8

Divide both sides by

- 2

x = - 4

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 0

Combine undefined points with solutions:

x = - 4

x^{2} = \frac{12}{x ^{2} + 1}

P, T = \frac{A - P}{P x}

\frac{8}{( x + 2 ) ^{3}} = 0

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

\frac{3 w + 7}{w} = \frac{w - 9}{w - 1}