What is the answer to |3x+7|=13 ?

The answer to |3x+7|=13 is x=-20/3 \lor x=2

Solve for x: |3x+7|=13

The solution is x=-20/3 \lor x=2

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∣ 3 x + 7 ∣ = 13

x = - \frac{20}{3} or x = 2

Decimal Notation

x = - 6.66666 \dots, x = 2

Solution steps

∣ 3 x + 7 ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 7 = - 13 or 3 x + 7 = 13

3 x + 7 = - 13 or 3 x + 7 = 13

x = - \frac{20}{3} or x = 2

∣ 9 + 4 d ∣ = 15

5 - \frac{3}{4} k = 7

0 = ∣ 3 x + 1 ∣ - 5

∣ 4 n - 9 ∣ = - 5

∣ m - 6.8 ∣ = 0