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

The answer to (x+3)/(2+x)= 2/3 is x=-5

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

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

x = - 5

Solution steps

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

Cross multiply

3 x + 9 = 4 + 2 x

Move

9

to the right side

3 x = 2 x - 5

Move

2 x

to the left side

x = - 5

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - 5

\frac{3}{x} = 8

\frac{64}{x} (1 + x + x^{2}) = 56

\frac{5}{2 t - t} = \frac{3 + 3}{2 t}

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

\frac{10 x - 10}{x - 1} + 12 = x + 8