What is the answer to x/(x+6)= 2/5 ?

The answer to x/(x+6)= 2/5 is x=4

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x/(x+6)= 2/5

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

x = 4

Solution steps

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

Cross multiply

x \cdot 5 = 2 x + 12

Move

2 x

to the left side

3 x = 12

Divide both sides by

3

x = 4

Verify Solutions

Find undefined (singularity) points:

x = - 6

Combine undefined points with solutions:

x = 4

\frac{2 x + 1}{x - 5} = 3

\frac{x}{5 x + 4} = 3

\frac{10 + x}{( 1 - x ) ^{2}} = 5

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

a, g = - 4 b + \frac{10}{a}