What is the answer to 1/(2x)+(x-3)/(x+5)=1 ?

The answer to 1/(2x)+(x-3)/(x+5)=1 is x= 1/3

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1/(2x)+(x-3)/(x+5)=1

\frac{1}{2 x} + \frac{x - 3}{x + 5} = 1

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

\frac{1}{2 x} + \frac{x - 3}{x + 5} = 1

Multiply by LCM

2 x^{2} - 5 x + 5 = 2 x^{2} + 10 x

Move

5

to the right side

2 x^{2} - 5 x = 2 x^{2} + 10 x - 5

Subtract

2 x^{2} + 10 x

from both sides

2 x^{2} - 5 x - (2 x^{2} + 10 x) = 2 x^{2} + 10 x - 5 - (2 x^{2} + 10 x)

Simplify

- 15 x = - 5

Divide both sides by

- 15

x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 5

Combine undefined points with solutions:

x = \frac{1}{3}

\frac{6}{6 b + 5} = \frac{2}{b - 5}

\frac{- 5}{9} = \frac{16}{x}

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

1 - \frac{6}{x ^{3}} = 0

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

What is the answer to 1/(2x)+(x-3)/(x+5)=1 ?
The answer to 1/(2x)+(x-3)/(x+5)=1 is x= 1/3
Solve for x: 1/(2x)+(x-3)/(x+5)=1
The solution is x= 1/3