What is the answer to |3x+2|=10 ?

The answer to |3x+2|=10 is x=-4\lor x= 8/3

Solve for x: |3x+2|=10

The solution is x=-4\lor x= 8/3

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∣ 3 x + 2 ∣ = 10

x = - 4 or x = \frac{8}{3}

Decimal Notation

x = - 4, x = 2.66666 \dots

Solution steps

∣ 3 x + 2 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 2 = - 10 or 3 x + 2 = 10

3 x + 2 = - 10 or 3 x + 2 = 10

x = - 4 or x = \frac{8}{3}

∣ - b + 6 ∣ = 9

∣ y - 12 ∣ = 16

∣ - 7 + y ∣ = 13

∣ 5 x - 9 ∣ - 9 = 3

48 = ∣ a - 7 ∣