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

The answer to |x+3|+6=2x is x=9

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|x+3|+6=2x

∣ x + 3 ∣ + 6 = 2 x

x = 9

Solution steps

∣ x + 3 ∣ + 6 = 2 x

Find positive and negative intervals

x < - 3, x \geq - 3

Solve the inequality for each interval

No Solution or x = 9

x = 9

3 \times ∣ x ∣^{3} = 24

∣ 3 x - 2 ∣ = 3 x - 2

8 - x^{2} = 1 + 3 ∣ x - 1 ∣

∣ 2 x - 6 ∣ = 10

∣ x - 3 ∣ = 2 x + 4