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

The answer to 3/x+3/(2x)=2 is x= 9/4

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3/x+3/(2x)=2

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

x = \frac{9}{4}

Decimal Notation

x = 2.25

Solution steps

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

Multiply by LCM

9 = 4 x

Switch sides

4 x = 9

Divide both sides by

4

x = \frac{9}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9}{4}

\frac{28}{b} + 9 = 16

\frac{π}{2} = \frac{2 π}{b}

5 = \frac{x ^{2} - 4}{x + 16}

\frac{8}{5 x - 4} = \frac{6}{x + 5}

\frac{x}{1 - x ^{2}} = 0