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

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

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

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

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∣ 3 x - 3 ∣ = 8

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

Decimal Notation

x = - 1.66666 \dots, x = 3.66666 \dots

Solution steps

∣ 3 x - 3 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

∣ 3 x + 9 ∣ - 10 = - 4

- x^{2} - ∣ x ∣ + 2 = 0

∣ 2 x + 9 ∣ + 7 = 3

∣ u ∣ = 5

∣ 5 - 6 x ∣ = - 2