What is the answer to 2|4-3x|=12x+4 ?

The answer to 2|4-3x|=12x+4 is x= 2/9

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2|4-3x|=12x+4

2 ∣ 4 - 3 x ∣ = 12 x + 4

x = \frac{2}{9}

Decimal Notation

x = 0.22222 \dots

Solution steps

2 ∣ 4 - 3 x ∣ = 12 x + 4

Find positive and negative intervals

x \leq \frac{4}{3}, x > \frac{4}{3}

Solve the inequality for each interval

x = \frac{2}{9} or No Solution

x = \frac{2}{9}

\frac{∣ x ∣}{4} = 12

∣ x + 9 ∣ + 9 = 8

∣ x + 9 ∣ + 9 = 5

∣ 3 x - 5 ∣ = 7 - x

2 ∣ 4 v + 5 ∣ - 6.5 = 10.3