What is the answer to |3x-7|=8 ?

The answer to |3x-7|=8 is x=-1/3 \lor x=5

Solve for x: |3x-7|=8

The solution is x=-1/3 \lor x=5

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∣ 3 x - 7 ∣ = 8

x = - \frac{1}{3} or x = 5

Decimal Notation

x = - 0.33333 \dots, x = 5

Solution steps

∣ 3 x - 7 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 7 = - 8 or 3 x - 7 = 8

3 x - 7 = - 8 or 3 x - 7 = 8

x = - \frac{1}{3} or x = 5

7 ∣ x - 2 ∣ = 6

- ∣ 7 - x ∣ - 5 = - 12

∣ 4 x - 4 ∣ - 8 = - 3

∣ 5 x - 1 ∣ - 5 = 4

3^{x} + ∣ x ∣ = 3