What is the answer to |11-3x|=7 ?

The answer to |11-3x|=7 is x= 4/3 \lor x=6

Solve for x: |11-3x|=7

The solution is x= 4/3 \lor x=6

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∣ 11 - 3 x ∣ = 7

x = \frac{4}{3} or x = 6

Decimal Notation

x = 1.33333 \dots, x = 6

Solution steps

∣ 11 - 3 x ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

11 - 3 x = - 7 or 11 - 3 x = 7

11 - 3 x = - 7 or 11 - 3 x = 7

x = \frac{4}{3} or x = 6

∣ 11 - 3 x ∣ = 5

∣ x + 2 ∣ = x + 2

∣ 2 + 10 k ∣ - 5 = 77

- 3 ∣ x - 9 ∣ - 10 = 2

2 ∣ h ∣ - 3 = 8