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

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

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

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

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

Decimal Notation

x = - 0.5, x = 0.4

Solution steps

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

Simplify

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

\frac{∣ 4 - x ∣}{3 ∣ x ∣} = 3

Multiply both sides by

3 ∣ x ∣

∣ 4 - x ∣ = 9 ∣ x ∣

Solve

∣ 4 - x ∣ = 9 ∣ x ∣ : x = - \frac{1}{2} or x = \frac{2}{5}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

n^{2} + 4 n - 21

0 = x^{2} - 4 x - 1

80 - 0.8 x = - 0.4 x

s^{2} + 9 = 0

x^{3} y^{3} - x^{4} y^{2}

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