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

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

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|(x+3)/x |=2

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

x = - 1, x = 3

Solution steps

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

Simplify

\frac{x + 3}{x} : \frac{∣ x + 3 ∣}{∣ x ∣}

\frac{∣ x + 3 ∣}{∣ x ∣} = 2

Multiply both sides by

∣ x ∣

∣ x + 3 ∣ = 2 ∣ x ∣

Solve

∣ x + 3 ∣ = 2 ∣ x ∣ : x = - 1 or x = 3

x = - 1, x = 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 1, x = 3

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

\frac{x + 2}{x - 5} = \frac{9}{2}

\frac{h}{5 h + \frac{n}{2}} = - 2

\frac{2 π}{x} = 1

\frac{3}{( x + 2 ) ^{2}} = 0