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

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

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|3x+2|+4=4

∣ 3 x + 2 ∣ + 4 = 4

x = - \frac{2}{3}

Decimal Notation

x = - 0.66666 \dots

Solution steps

∣ 3 x + 2 ∣ + 4 = 4

Subtract

4

from both sides

∣ 3 x + 2 ∣ + 4 - 4 = 4 - 4

Simplify

∣ 3 x + 2 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

3 x + 2 = 0

3 x + 2 = 0 : x = - \frac{2}{3}

x = - \frac{2}{3}

∣ 3 x + 2 ∣ + 4 = 3

∣ v + 6 ∣ + 3 = 0

- 2 ∣ 3 x - 9 ∣ + 5 = - 7

5 ∣ 2 x + 1 ∣ - 3 = 2

∣ (3 x - 5) (x + 2) ∣ = 4