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

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

The solution is x=-7/2 \lor x= 7/2

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|2x|=7

∣ 2 x ∣ = 7

x = - \frac{7}{2} or x = \frac{7}{2}

Decimal

x = - 3.5, x = 3.5

Solution steps

∣ 2 x ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x = - 7 or 2 x = 7

2 x = - 7 or 2 x = 7

x = - \frac{7}{2} or x = \frac{7}{2}

∣ x - 9 ∣ = 18

∣ 4 n - 7 ∣ = 7

∣ u - 6 ∣ + 7 = 71

∣ 4 - 3 w ∣ = ∣ 3 w - 5 ∣

- 9 ∣ 10 p - 5 ∣ = - 45