What is the answer to 4|3x-4|=32 ?

The answer to 4|3x-4|=32 is x=-4/3 \lor x=4

Solve for x: 4|3x-4|=32

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

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4 ∣ 3 x - 4 ∣ = 32

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

Solution steps

4 ∣ 3 x - 4 ∣ = 32

Divide both sides by

4

∣ 3 x - 4 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 4 = - 8 or 3 x - 4 = 8

3 x - 4 = - 8 or 3 x - 4 = 8

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

- 8 ∣ n ∣ + 7 = - 41

∣ 5 r - 7 ∣ = 38

5 ∣ x - 2 ∣ - 11 = 2

∣ 3 x - 16 ∣ = 5 x - 6

∣ 2 - 3 t ∣ + 1 = 12