What is the answer to |(x-4)/(x+3)|=5 ?

The answer to |(x-4)/(x+3)|=5 is x=-19/4 ,x=-11/6

Solve for x: |(x-4)/(x+3)|=5

The solution is x=-19/4 ,x=-11/6

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\frac{x - 4}{x + 3} = 5

x = - \frac{19}{4}, x = - \frac{11}{6}

Decimal Notation

x = - 4.75, x = - 1.83333 \dots

Solution steps

\frac{x - 4}{x + 3} = 5

Simplify

\frac{x - 4}{x + 3} : \frac{∣ x - 4 ∣}{∣ x + 3 ∣}

\frac{∣ x - 4 ∣}{∣ x + 3 ∣} = 5

Multiply both sides by

∣ x + 3 ∣

∣ x - 4 ∣ = 5 ∣ x + 3 ∣

Solve

∣ x - 4 ∣ = 5 ∣ x + 3 ∣ : x = - \frac{19}{4} or x = - \frac{11}{6}

x = - \frac{19}{4}, x = - \frac{11}{6}

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = - \frac{19}{4}, x = - \frac{11}{6}

\frac{x}{( x - 4 ) 2 - 3 ∣ x ^{4} ∣ - 4} = 0

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

\frac{500}{( 1 + r ) ^{10}} = 100

\frac{( x + 3 )}{( x + 4 )} = \frac{( x ^{2} - 1 )}{2}

1.2 (x) = \frac{6}{52 x - x}

What is the answer to |(x-4)/(x+3)|=5 ?
The answer to |(x-4)/(x+3)|=5 is x=-19/4 ,x=-11/6
Solve for x: |(x-4)/(x+3)|=5
The solution is x=-19/4 ,x=-11/6