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

The answer to |8x-6|=6 is x=0\lor x= 3/2

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|8x-6|=6

∣ 8 x - 6 ∣ = 6

x = 0 or x = \frac{3}{2}

Decimal Notation

x = 0, x = 1.5

Solution steps

∣ 8 x - 6 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = \frac{3}{2}

∣ x + 2 ∣ = 2 x

9 ∣ x - 6 ∣ - 9 = - 2

∣ m - 10 ∣ - 6 = 13

2 ∣ x - 1 ∣ = 8 + 2 x

∣ a + 5 ∣ = 1