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

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 < x < 6

(- 4 x^{4} y)^{5}

(\frac{1}{4})^{4}

10000 v^{2} + 11877 = 21800 v

4 x^{2} + 20 x - 24

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