What is the answer to |(x+3)/(x-3)|=7 ?

The answer to |(x+3)/(x-3)|=7 is x= 9/4 ,x=4

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|(x+3)/(x-3)|=7

\frac{x + 3}{x - 3} = 7

x = \frac{9}{4}, x = 4

Decimal Notation

x = 2.25, x = 4

Solution steps

\frac{x + 3}{x - 3} = 7

Simplify

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

\frac{∣ x + 3 ∣}{∣ x - 3 ∣} = 7

Multiply both sides by

∣ x - 3 ∣

∣ x + 3 ∣ = 7 ∣ x - 3 ∣

Solve

∣ x + 3 ∣ = 7 ∣ x - 3 ∣ : x = \frac{9}{4} or x = 4

x = \frac{9}{4}, x = 4

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{9}{4}, x = 4

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

\frac{0.7}{1.4} = \frac{15}{x}

6 z - \frac{4}{1 + 2 z} = 3

10 = 500 (b)^{- 3}

\frac{x}{x - 4} = \frac{4}{x - 4} + 5

What is the answer to |(x+3)/(x-3)|=7 ?
The answer to |(x+3)/(x-3)|=7 is x= 9/4 ,x=4
Solve for x: |(x+3)/(x-3)|=7
The solution is x= 9/4 ,x=4