What is the answer to |3x+8|=44 ?

The answer to |3x+8|=44 is x=-52/3 \lor x=12

Solve for x: |3x+8|=44

The solution is x=-52/3 \lor x=12

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∣ 3 x + 8 ∣ = 44

x = - \frac{52}{3} or x = 12

Decimal Notation

x = - 17.33333 \dots, x = 12

Solution steps

∣ 3 x + 8 ∣ = 44

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 8 = - 44 or 3 x + 8 = 44

3 x + 8 = - 44 or 3 x + 8 = 44

x = - \frac{52}{3} or x = 12

4 ∣ 3 x + 4 ∣ - 2 = 14

∣ n - 8 ∣ = 1

3 - 3 ∣ 3 x + 3 ∣ = - 21

a, ∣ a - b ∣ = 1

∣ 2 x + 5 ∣ - 2 = 8