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

The answer to 2x-3=|x-2| is x= 5/3

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2x-3=|x-2|

2 x - 3 = ∣ x - 2 ∣

x = \frac{5}{3}

Decimal Notation

x = 1.66666 \dots

Solution steps

2 x - 3 = ∣ x - 2 ∣

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = \frac{5}{3} or No Solution

x = \frac{5}{3}

∣ x - 1 ∣ = 2 - 3 x

∣ 2 x + 1 ∣ = x - 4

x^{2} - 7 = 0

- 2 ∣ 6 x + 24 ∣ - 30 = - 42

∣ x + 4 ∣ - 5 = 4