What is the answer to |x+6|=2x+3 ?

The answer to |x+6|=2x+3 is x=3

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|x+6|=2x+3

∣ x + 6 ∣ = 2 x + 3

x = 3

Solution steps

∣ x + 6 ∣ = 2 x + 3

Find positive and negative intervals

x < - 6, x \geq - 6

Solve the inequality for each interval

No Solution or x = 3

x = 3

∣ 5 x + 2 ∣ = ∣ x + 4 ∣

\frac{∣ 5 - 3 x ∣ + 2}{3} = \frac{1}{6}

r^{3} = 27

∣ x - 1 ∣ + ∣ y + 2 ∣ = 6

∣ x ∣ + 3 ∣ 3 - x ∣ = 0