What is the answer to |3x+5|=26 ?

The answer to |3x+5|=26 is x=-31/3 \lor x=7

Solve for x: |3x+5|=26

The solution is x=-31/3 \lor x=7

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∣ 3 x + 5 ∣ = 26

x = - \frac{31}{3} or x = 7

Decimal Notation

x = - 10.33333 \dots, x = 7

Solution steps

∣ 3 x + 5 ∣ = 26

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 5 = - 26 or 3 x + 5 = 26

3 x + 5 = - 26 or 3 x + 5 = 26

x = - \frac{31}{3} or x = 7

∣ 2 c + 8 ∣ = 10 c

9 ∣ - 6 x ∣ - 3 = 3

2 ∣ x - 3 ∣ + 1 = 5

- ∣ - x - 6 ∣ = - 7

∣ A ∣ = - 2