What is the answer to 2|x-3|+x=9 ?

The answer to 2|x-3|+x=9 is x=-3\lor x=5

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2|x-3|+x=9

2 ∣ x - 3 ∣ + x = 9

x = - 3 or x = 5

Solution steps

2 ∣ x - 3 ∣ + x = 9

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = - 3 or x = 5

2 ∣ x ∣ + ∣ x - 1 ∣ = 4 x - 3

∣ x + 3 ∣ = ∣ 3 x - 1 ∣

∣ x + 142 ∣ = 4

\frac{∣ 3 v - 2 ∣}{5} = 4

∣ x + 5 ∣ + 7 = 3