What is the answer to |(x+4)/(x-2)|=3 ?

The answer to |(x+4)/(x-2)|=3 is x= 1/2 ,x=5

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|(x+4)/(x-2)|=3

\frac{x + 4}{x - 2} = 3

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

Decimal Notation

x = 0.5, x = 5

Solution steps

\frac{x + 4}{x - 2} = 3

Simplify

\frac{x + 4}{x - 2} : \frac{∣ x + 4 ∣}{∣ x - 2 ∣}

\frac{∣ x + 4 ∣}{∣ x - 2 ∣} = 3

Multiply both sides by

∣ x - 2 ∣

∣ x + 4 ∣ = 3 ∣ x - 2 ∣

Solve

∣ x + 4 ∣ = 3 ∣ x - 2 ∣ : x = \frac{1}{2} or x = 5

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

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

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

\frac{15}{x} = - 5

\frac{4}{5} = \frac{20}{x}

y, x = \frac{y + 1}{2 y + 1}

x^{3} + 3 = \frac{16}{x ^{2} - 3}

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

What is the answer to |(x+4)/(x-2)|=3 ?
The answer to |(x+4)/(x-2)|=3 is x= 1/2 ,x=5
Solve for x: |(x+4)/(x-2)|=3
The solution is x= 1/2 ,x=5