What is the answer to 2|x-3|+2=5x-6 ?

The answer to 2|x-3|+2=5x-6 is x=2

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2|x-3|+2=5x-6

2 ∣ x - 3 ∣ + 2 = 5 x - 6

x = 2

Solution steps

2 ∣ x - 3 ∣ + 2 = 5 x - 6

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = 2 or No Solution

x = 2

x^{2} - 2 x - 3 = 0

∣ x + 3 ∣ - 2 = ∣ x ∣ + 2 x

∣ k - 3 ∣ = 2 k + 6

∣ 3 x - 2 ∣ = ∣ x - 4 ∣

∣ 2 x + 3 ∣ = x + 5