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

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

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1/(2x+1)=3

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

x = - \frac{1}{3}

Solution steps

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

Multiply both sides by

2 x + 1

1 = 3 (2 x + 1)

Switch sides

3 (2 x + 1) = 1

Divide both sides by

3

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

Move

1

to the right side

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

Divide both sides by

2

x = - \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{2}

Combine undefined points with solutions:

x = - \frac{1}{3}

\frac{3}{8} = \frac{39}{b}

h, v = \frac{q h}{q + h}

\frac{5}{x} = \frac{6}{x - 10}

11 - \frac{22}{x} = 4 + \frac{6}{x}

\frac{( x - 1 ) ( 2 x + 84 )}{x} - 84 = 0