What is the answer to 4|2x-1|-2=34 ?

The answer to 4|2x-1|-2=34 is x=-4\lor x=5

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4|2x-1|-2=34

4 ∣ 2 x - 1 ∣ - 2 = 34

x = - 4 or x = 5

Solution steps

4 ∣ 2 x - 1 ∣ - 2 = 34

Move

2

to the right side

4 ∣ 2 x - 1 ∣ = 36

Divide both sides by

4

∣ 2 x - 1 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 1 = - 9 or 2 x - 1 = 9

2 x - 1 = - 9 or 2 x - 1 = 9

x = - 4 or x = 5

(x - 4) (x - 8) = 12

r^{2} + 7 r + 6 = 0

3 x^{2} + 11 x - 24 = 0

11 w + 6 \geq 182

\frac{66.93}{800} \cdot 60