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

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

Solve for x: 4=|3x+2|

The solution is x=-2\lor x= 2/3

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4 = ∣ 3 x + 2 ∣

x = - 2 or x = \frac{2}{3}

Solution steps

4 = ∣ 3 x + 2 ∣

Switch sides

∣ 3 x + 2 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 2 = - 4 or 3 x + 2 = 4

3 x + 2 = - 4 or 3 x + 2 = 4

x = - 2 or x = \frac{2}{3}

2 ∣ x + 1 ∣ - x = 3 x - 4

∣ 6 - 5 x ∣ - 4 = 2

∣ - 1 + 4 c ∣ = 41

18 = ∣ 6 a ∣

∣ 2 x - 3 ∣ = 14