What is the answer to 7|2x-1|=21 ?

The answer to 7|2x-1|=21 is x=-1\lor x=2

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7|2x-1|=21

7 ∣ 2 x - 1 ∣ = 21

x = - 1 or x = 2

Solution steps

7 ∣ 2 x - 1 ∣ = 21

Divide both sides by

7

∣ 2 x - 1 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 1 = - 3 or 2 x - 1 = 3

2 x - 1 = - 3 or 2 x - 1 = 3

x = - 1 or x = 2

\frac{5 y - 6}{2} = y - \frac{2 - y}{3}

5 (x + 3) \leq 0

25 - x^{2} < 0

2 x^{2} - 19 x + 39 = 0

5 x^{2} - 5 x - 10 = 0