What is the answer to 5+|3x+2|=4x ?

The answer to 5+|3x+2|=4x is x=7

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5+|3x+2|=4x

5 + ∣ 3 x + 2 ∣ = 4 x

x = 7

Solution steps

5 + ∣ 3 x + 2 ∣ = 4 x

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution or x = 7

x = 7

∣ 2 x + 7 ∣ = 4 - 3 x

- 4 ∣ 2 x - 3 ∣ = 20

∣ 6 - 3 y ∣ = 11

3 ∣ 2 a + 7 ∣ = 3 a + 12

∣ p - 7 ∣ = - 14