What is the answer to |2x-1|-9=0 ?

The answer to |2x-1|-9=0 is x=-4\lor x=5

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|2x-1|-9=0

∣ 2 x - 1 ∣ - 9 = 0

x = - 4 or x = 5

Solution steps

∣ 2 x - 1 ∣ - 9 = 0

Move

9

to the right side

∣ 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

∣ 20 + 2 x ∣ = ∣ 4 x + 4 ∣

∣ x + 3 ∣ + ∣ x - 2 ∣ = 5

x^{2} + x + 1 + ∣ 2 x - 3 ∣ = 4 x

∣ - 13 ∣ + \frac{3 x + 6}{7} + ∣ 4 ∣ = 25

∣ x + 3 ∣ - ∣ 4 - x ∣ = ∣ 8 + x ∣