What is the answer to |8-3x|=3 ?

The answer to |8-3x|=3 is x= 5/3 \lor x= 11/3

Solve for x: |8-3x|=3

The solution is x= 5/3 \lor x= 11/3

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∣ 8 - 3 x ∣ = 3

x = \frac{5}{3} or x = \frac{11}{3}

Decimal Notation

x = 1.66666 \dots, x = 3.66666 \dots

Solution steps

∣ 8 - 3 x ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 - 3 x = - 3 or 8 - 3 x = 3

8 - 3 x = - 3 or 8 - 3 x = 3

x = \frac{5}{3} or x = \frac{11}{3}

∣ x - 5 ∣ = - 6

∣ p ∣ = 3

∣ p ∣ = 5

2 - \frac{4 x}{3} = 6

∣ x + 21 ∣ = 2