What is the answer to 3/(2x)=6 ?

The answer to 3/(2x)=6 is x= 1/4

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3/(2x)=6

\frac{3}{2 x} = 6

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

\frac{3}{2 x} = 6

Multiply both sides by

x

\frac{3}{2} = 6 x

Switch sides

6 x = \frac{3}{2}

Divide both sides by

6

x = \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{4}

\frac{3}{x} = \frac{9}{3 x} - 1

\frac{t}{t - 1} = \frac{2}{t - 1} + 2

\frac{3}{a} + 1 = \frac{2}{5}

\frac{5}{p + 1} = \frac{7}{3}

\frac{1}{y + 1} + \frac{1}{y + 2} = 1