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

The answer to 3/(x+1)= 2/3 is x= 7/2

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3/(x+1)= 2/3

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

x = \frac{7}{2}

Decimal Notation

x = 3.5

Solution steps

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

Cross multiply

9 = (x + 1) \cdot 2

Switch sides

(x + 1) \cdot 2 = 9

Divide both sides by

2

x + 1 = \frac{9}{2}

Move

1

to the right side

x = \frac{7}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = \frac{7}{2}

\frac{4}{x - 30} + \frac{16}{x} = 48

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

\frac{10}{x} = \frac{10 x}{9}

x, \frac{a x + b}{c x + d} = 5

a (2 - (- \frac{1}{a}))^{2} = 1