What is the answer to 2|3x|=8 ?

The answer to 2|3x|=8 is x=-4/3 \lor x= 4/3

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

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2|3x|=8

2 ∣ 3 x ∣ = 8

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

Decimal

x = - 1.33333 \dots, x = 1.33333 \dots

Solution steps

2 ∣ 3 x ∣ = 8

Divide both sides by

2

∣ 3 x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x = - 4 or 3 x = 4

3 x = - 4 or 3 x = 4

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

x^{2} + 6 x - 3 = 8

∣ x + 1 ∣ - 2 ∣ x - 1 ∣ = 0

x + ∣ x - 3 ∣ = 8

∣ 30 (1) - 112 M ∣ = 180

15 x + 2 x + \frac{11}{4} x - 20 = 1