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

The answer to 7|2x-1|=7 is x=0\lor x=1

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7|2x-1|=7

7 ∣ 2 x - 1 ∣ = 7

x = 0 or x = 1

Solution steps

7 ∣ 2 x - 1 ∣ = 7

Divide both sides by

7

∣ 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

2 8 p^{2} q^{3} r

(x) (x - 1) = 12

3 x - 2 \geq 5 x + 3

4 x - 5 = 2 (x + 5)

72 y + 108 z