What is the answer to |3x+2|=7 ?

The answer to |3x+2|=7 is x=-3\lor x= 5/3

Solve for x: |3x+2|=7

The solution is x=-3\lor x= 5/3

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∣ 3 x + 2 ∣ = 7

x = - 3 or x = \frac{5}{3}

Decimal Notation

x = - 3, x = 1.66666 \dots

Solution steps

∣ 3 x + 2 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 2 = - 7 or 3 x + 2 = 7

3 x + 2 = - 7 or 3 x + 2 = 7

x = - 3 or x = \frac{5}{3}

∣ a - 11 ∣ = 13

2 ∣ x + 9 ∣ + 3 = 7

∣ 14 - 3 b ∣ = 5

∣ 15 - 3 b ∣ = 21

∣ y - 3 ∣ = 7