What is the answer to |3x+2|=4x-16 ?

The answer to |3x+2|=4x-16 is x=18

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|3x+2|=4x-16

∣ 3 x + 2 ∣ = 4 x - 16

x = 18

Solution steps

∣ 3 x + 2 ∣ = 4 x - 16

Find positive and negative intervals

x < - \frac{2}{3}, x \geq - \frac{2}{3}

Solve the inequality for each interval

No Solution or x = 18

x = 18

- 7 ∣ t ∣ = 42

∣ 8 m - 5 ∣ = - 13

\frac{∣ m ∣}{2} - 1 = - 3

7 ∣ x - 6 ∣ = 10

6 ∣ 3 - 9 x ∣ = 24