What is the answer to 4/(2+x)= 7/(x+3) ?

The answer to 4/(2+x)= 7/(x+3) is x=-2/3

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4/(2+x)= 7/(x+3)

\frac{4}{2 + x} = \frac{7}{x + 3}

x = - \frac{2}{3}

Solution steps

\frac{4}{2 + x} = \frac{7}{x + 3}

Cross multiply

4 x + 12 = 14 + 7 x

Move

12

to the right side

4 x = 7 x + 2

Move

7 x

to the left side

- 3 x = 2

Divide both sides by

- 3

x = - \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = - 3

Combine undefined points with solutions:

x = - \frac{2}{3}

x^{- 2} - 2 x^{- 1} = 8

\frac{x}{x - 14} = \frac{- 2}{x - 5}

45 = - \frac{1}{x} - 45

\frac{3}{y} = - 6

\frac{3 - z}{z - 4} = \frac{1}{2}

What is the answer to 4/(2+x)= 7/(x+3) ?
The answer to 4/(2+x)= 7/(x+3) is x=-2/3
Solve for x: 4/(2+x)= 7/(x+3)
The solution is x=-2/3