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

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

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

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

x = - 1, x = 5

Solution steps

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

Cross multiply

3 = ∣ 2 - x ∣

Solve

3 = ∣ 2 - x ∣ : x = - 1 or x = 5

x = - 1, x = 5

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = - 1, x = 5

x + \frac{2}{x} - 2 + \frac{x ^{2}}{4} - x^{2} = - \frac{6}{x} + 2

c, \frac{( c ^{2} + d ^{2} )}{( c ^{2} )} = \frac{5}{1}

- \frac{\frac{2}{3}}{( \frac{1}{2} \cdot x + 25 )} - \frac{31}{2} = \frac{3}{4}

a, 4 \frac{a}{b} + \frac{b}{a} = 4

(\frac{1}{4 x})^{3} = 4

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