What is the answer to 3x-2=|x-7| ?

The answer to 3x-2=|x-7| is x= 9/4

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3x-2=|x-7|

3 x - 2 = ∣ x - 7 ∣

x = \frac{9}{4}

Decimal Notation

x = 2.25

Solution steps

3 x - 2 = ∣ x - 7 ∣

Find positive and negative intervals

x < 7, x \geq 7

Solve the inequality for each interval

x = \frac{9}{4} or No Solution

x = \frac{9}{4}

18 = 2 ∣ n ∣

∣ - 5 a - 4 ∣ = 32

3 + ∣ t + 4 ∣ = 17

11 = ∣ 2 x - 3 ∣

∣ 2 - 2 t ∣ + 5 = 11