What is the answer to 10-4|2x-1|=6 ?

The answer to 10-4|2x-1|=6 is x=0\lor x=1

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10-4|2x-1|=6

10 - 4 ∣ 2 x - 1 ∣ = 6

x = 0 or x = 1

Solution steps

10 - 4 ∣ 2 x - 1 ∣ = 6

Move

10

to the right side

- 4 ∣ 2 x - 1 ∣ = - 4

Divide both sides by

- 4

∣ 2 x - 1 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 1 = - 1 or 2 x - 1 = 1

2 x - 1 = - 1 or 2 x - 1 = 1

x = 0 or x = 1

8 x - 6

- 23.4 = - 1.3 w

3 x^{2} - 17 x - 6

- \frac{1}{2} + \frac{1}{1}

x^{2} + 6 x - 27