What is the answer to 3x+2=|x-4|+2 ?

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

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3x+2=|x-4|+2

3 x + 2 = ∣ x - 4 ∣ + 2

x = 1

Solution steps

3 x + 2 = ∣ x - 4 ∣ + 2

Find positive and negative intervals

x < 4, x \geq 4

Solve the inequality for each interval

x = 1 or No Solution

x = 1

- 1 = ∣ x - 2 ∣

4 ∣ r + 7 ∣ + 3 = 59

∣ 6 x - 8 ∣ + 8 = 6

∣ a + 6 ∣ = 2

- 4 ∣ 5 v + 7 ∣ + 7 = - 101