What is the answer to (x+3)/x+2/3 =10 ?

The answer to (x+3)/x+2/3 =10 is x= 9/25

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(x+3)/x+2/3 =10

\frac{x + 3}{x} + \frac{2}{3} = 10

x = \frac{9}{25}

Decimal Notation

x = 0.36

Solution steps

\frac{x + 3}{x} + \frac{2}{3} = 10

Multiply by LCM

5 x + 9 = 30 x

Move

9

to the right side

5 x = 30 x - 9

Move

30 x

to the left side

- 25 x = - 9

Divide both sides by

- 25

x = \frac{9}{25}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9}{25}

\frac{1}{x + 1} + 2 = \frac{5}{x + 1}

x^{- 2} = \frac{1}{9}

2 x = \frac{1}{x}

\frac{6}{x} = - \frac{3}{7}

\frac{1}{x} = - 3

What is the answer to (x+3)/x+2/3 =10 ?
The answer to (x+3)/x+2/3 =10 is x= 9/25
Solve for x: (x+3)/x+2/3 =10
The solution is x= 9/25