What is the answer to 6/(2x)=9 ?

The answer to 6/(2x)=9 is x= 1/3

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6/(2x)=9

\frac{6}{2 x} = 9

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

\frac{6}{2 x} = 9

Simplify

\frac{6}{2 x} : \frac{3}{x}

\frac{3}{x} = 9

Multiply both sides by

x

3 = 9 x

Switch sides

9 x = 3

Divide both sides by

9

x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{3}

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

\frac{- 3}{x - 3} + \frac{2}{x + 7} = 1

x = \frac{y}{y + 4}, y

\frac{x}{x - 4} + 1 = \frac{4}{x - 4}

u, S = \frac{u}{a u + v}