What is the answer to 4/3 |x+4|-1=3x+1 ?

The answer to 4/3 |x+4|-1=3x+1 is x=2

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4/3 |x+4|-1=3x+1

\frac{4}{3} ∣ x + 4 ∣ - 1 = 3 x + 1

x = 2

Solution steps

\frac{4}{3} ∣ x + 4 ∣ - 1 = 3 x + 1

Find positive and negative intervals

x < - 4, x \geq - 4

Solve the inequality for each interval

No Solution or x = 2

x = 2

∣ x - 3 ∣ + 5 = 0

y, x = ∣ y + 2 ∣

∣ 3 x - 6 ∣ + ∣ x ∣ = 7 + 5 x

∣ x - 10 ∣ = 0

∣ 3 - x ∣ - ∣ x + 2 ∣ = 5