What is the answer to |3x-4|=71 ?

The answer to |3x-4|=71 is x=-67/3 \lor x=25

Solve for x: |3x-4|=71

The solution is x=-67/3 \lor x=25

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∣ 3 x - 4 ∣ = 71

x = - \frac{67}{3} or x = 25

Decimal Notation

x = - 22.33333 \dots, x = 25

Solution steps

∣ 3 x - 4 ∣ = 71

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 4 = - 71 or 3 x - 4 = 71

3 x - 4 = - 71 or 3 x - 4 = 71

x = - \frac{67}{3} or x = 25

4 = 7 ∣ u ∣ - 8

∣ 5 x + 10 ∣ = 35

∣ 2 y + 7 ∣ + 3 = 2

- 2 ∣ 2 x - 6 ∣ = - 8

∣ 8 x - 4 ∣ - 2 = 50