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

The answer to 1+3/(2-x)= 1/2 is x=8

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

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

x = 8

Solution steps

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

Multiply by LCM

- 2 x + 10 = - x + 2

Move

10

to the right side

- 2 x = - x - 8

Move

x

to the left side

- x = - 8

Divide both sides by

- 1

x = 8

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 8

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

\frac{18.2}{j} = \frac{4}{16}

\frac{9}{5 x} = \frac{x}{20}

2 x + 13200 x^{- 1} = 0

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