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

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

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|x+3|=2x-6

∣ x + 3 ∣ = 2 x - 6

x = 9

Solution steps

∣ x + 3 ∣ = 2 x - 6

Find positive and negative intervals

x < - 3, x \geq - 3

Solve the inequality for each interval

No Solution or x = 9

x = 9

∣ 3 - x ∣ + 5 x = 2 x - ∣ 1 - 3 x ∣

∣ 2 x + 1 ∣ = 7^{3} - 92

x^{2} - 1 = x - 1

∣ x - 5 ∣ = - 5

- ∣ 2 x - 10 ∣ - 1 = 2