What is the answer to |(3x+8)/(2x-3)|=4 ?

The answer to |(3x+8)/(2x-3)|=4 is x= 4/11 ,x=4

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|(3x+8)/(2x-3)|=4

\frac{3 x + 8}{2 x - 3} = 4

x = \frac{4}{11}, x = 4

Decimal Notation

x = 0.36363 \dots, x = 4

Solution steps

\frac{3 x + 8}{2 x - 3} = 4

Simplify

\frac{3 x + 8}{2 x - 3} : \frac{∣ 3 x + 8 ∣}{∣ 2 x - 3 ∣}

\frac{∣ 3 x + 8 ∣}{∣ 2 x - 3 ∣} = 4

Multiply both sides by

∣ 2 x - 3 ∣

∣ 3 x + 8 ∣ = 4 ∣ 2 x - 3 ∣

Solve

∣ 3 x + 8 ∣ = 4 ∣ 2 x - 3 ∣ : x = \frac{4}{11} or x = 4

x = \frac{4}{11}, x = 4

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}

Combine undefined points with solutions:

x = \frac{4}{11}, x = 4

5 + \frac{2}{3}

5 c^{5} + 60 c^{4} + 180 c^{3}

- 7 y + 3 = 45

1 - (- \frac{3}{5})

x \leq 6 and x > 4

What is the answer to |(3x+8)/(2x-3)|=4 ?
The answer to |(3x+8)/(2x-3)|=4 is x= 4/11 ,x=4
Solve for x: |(3x+8)/(2x-3)|=4
The solution is x= 4/11 ,x=4