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

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

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2x+|x-3|=6

2 x + ∣ x - 3 ∣ = 6

x = 3

Solution steps

2 x + ∣ x - 3 ∣ = 6

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

No Solution or x = 3

x = 3

7 ∣ 2 a - 5 ∣ - 15 = 20

∣ y + 840 ∣ = 40

∣ 2 (x - 3) (x + 5) ∣ = 2

5 - ∣ 4 - x ∣ = - 2

x^{2} - 1 = x + 1