What is the answer to x/(x+1)= 3/2 ?

The answer to x/(x+1)= 3/2 is x=-3

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x/(x+1)= 3/2

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

x = - 3

Solution steps

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

Cross multiply

x \cdot 2 = 3 x + 3

Move

3 x

to the left side

- x = 3

Divide both sides by

- 1

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = - 3

(x) = \frac{( x ^{2} - 7 x + 12 )}{( 7 x )}

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

\frac{7 x}{x + 1} = 3 - \frac{7}{x + 1}

\frac{12}{15} = \frac{20}{x}

\frac{5}{4 - m} = - \frac{3}{m + 2}