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

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

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3/x+2/3 =2

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

x = \frac{9}{4}

Decimal Notation

x = 2.25

Solution steps

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

Multiply by LCM

9 + 2 x = 6 x

Move

9

to the right side

2 x = 6 x - 9

Move

6 x

to the left side

- 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{24}{x} = - \frac{8}{3}

\frac{x ^{2} - 2}{x + 4} = 7

\frac{4 k - 6}{3 k - 9} = \frac{1}{3}

0.36 = \frac{x + 0.1 ( 500 )}{x + 500}

\frac{4}{x} = \frac{2}{3}