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

The answer to 3x-2=|x-2| is x=1

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3x-2=|x-2|

3 x - 2 = ∣ x - 2 ∣

x = 1

Solution steps

3 x - 2 = ∣ x - 2 ∣

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = 1 or No Solution

x = 1

∣ 2 x + 3 ∣ = 6 x - 9

∣ x + 3 ∣ = 5 + x

9 ∣ 5 a - 5 ∣ - 10 = 35

∣ 2 x + x ∣ = 9

∣ x - 2 ∣ = - 2