What is the answer to |3x-4|=20 ?

The answer to |3x-4|=20 is x=-16/3 \lor x=8

Solve for x: |3x-4|=20

The solution is x=-16/3 \lor x=8

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∣ 3 x - 4 ∣ = 20

x = - \frac{16}{3} or x = 8

Decimal Notation

x = - 5.33333 \dots, x = 8

Solution steps

∣ 3 x - 4 ∣ = 20

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 4 = - 20 or 3 x - 4 = 20

3 x - 4 = - 20 or 3 x - 4 = 20

x = - \frac{16}{3} or x = 8

2 ∣ 5 x + 3 ∣ = 16

10 - ∣ 4 c - 6 ∣ = - 1

6 + 3 ∣ - 7 - 6 p ∣ = 75

4 ∣ 3 x - 9 ∣ = 36

- 4 ∣ x + 7 ∣ = - 16