What is the answer to |3x+6|=4 ?

The answer to |3x+6|=4 is x=-10/3 \lor x=-2/3

Solve for x: |3x+6|=4

The solution is x=-10/3 \lor x=-2/3

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∣ 3 x + 6 ∣ = 4

x = - \frac{10}{3} or x = - \frac{2}{3}

Decimal Notation

x = - 3.33333 \dots, x = - 0.66666 \dots

Solution steps

∣ 3 x + 6 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 6 = - 4 or 3 x + 6 = 4

3 x + 6 = - 4 or 3 x + 6 = 4

x = - \frac{10}{3} or x = - \frac{2}{3}

2 ∣ 4 v - 6 ∣ + 59 = 7

3.5 ∣ - x + 4 ∣ - 1.4 = 5.6

∣ 6 y - 3 ∣ = - 2

∣ 5 x - 1 ∣ = 0

8 ∣ 2 x - 9 ∣ = 16