What is the answer to 3x+1=|x-2| ?

The answer to 3x+1=|x-2| is x= 1/4

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3x+1=|x-2|

3 x + 1 = ∣ x - 2 ∣

x = \frac{1}{4}

Solution steps

3 x + 1 = ∣ x - 2 ∣

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

x = \frac{1}{4} or No Solution

x = \frac{1}{4}

5 ∣ x - 6 ∣ - 11 = 2

∣ c - 100 ∣ + 6 = 106

∣ 3 x - 24 ∣ - 7 = - 7

\frac{n}{5} = 1

∣ x + (- 4) ∣ = 2