What is the answer to 4|3x-5|=28 ?

The answer to 4|3x-5|=28 is x=-2/3 \lor x=4

Solve for x: 4|3x-5|=28

The solution is x=-2/3 \lor x=4

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4 ∣ 3 x - 5 ∣ = 28

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

Decimal Notation

x = - 0.66666 \dots, x = 4

Solution steps

4 ∣ 3 x - 5 ∣ = 28

Divide both sides by

4

∣ 3 x - 5 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 5 = - 7 or 3 x - 5 = 7

3 x - 5 = - 7 or 3 x - 5 = 7

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

∣ 3 x + 12 ∣ = 9

4 ∣ - 3 n + 9 ∣ - 2 = 10

∣ z + 4 ∣ = 1

∣ 6 x + 9 ∣ + 1 = 4

6 ∣ x - 3 ∣ + 9 = 16