What is the answer to |2x-1|-7=-2 ?

The answer to |2x-1|-7=-2 is x=-2\lor x=3

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|2x-1|-7=-2

∣ 2 x - 1 ∣ - 7 = - 2

x = - 2 or x = 3

Solution steps

∣ 2 x - 1 ∣ - 7 = - 2

Move

7

to the right side

∣ 2 x - 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 1 = - 5 or 2 x - 1 = 5

2 x - 1 = - 5 or 2 x - 1 = 5

x = - 2 or x = 3

12 x^{2} - 30 x + 6

5 x^{2} - (3 + π) x - π = 0

r^{2} + 6 r + 5 = 0

- \frac{1}{5} (5)

\frac{1}{4} k = 3 (- \frac{1}{4} k + 3)