What is the answer to 3|8x-6|=3 ?

The answer to 3|8x-6|=3 is x= 5/8 \lor x= 7/8

Solve for x: 3|8x-6|=3

The solution is x= 5/8 \lor x= 7/8

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3 ∣ 8 x - 6 ∣ = 3

x = \frac{5}{8} or x = \frac{7}{8}

Decimal Notation

x = 0.625, x = 0.875

Solution steps

3 ∣ 8 x - 6 ∣ = 3

Divide both sides by

3

∣ 8 x - 6 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 x - 6 = - 1 or 8 x - 6 = 1

8 x - 6 = - 1 or 8 x - 6 = 1

x = \frac{5}{8} or x = \frac{7}{8}

2 ∣ x - 25 ∣ + 4 = 12

- 3 = - ∣ x - 2 ∣ - 1

7 ∣ m ∣ = 0

3 + 8 ∣ - 6 v ∣ = 99

∣ x ∣ - 14 = - 1