What is the answer to |6x|=7 ?

The answer to |6x|=7 is x=-7/6 \lor x= 7/6

The solution is x=-7/6 \lor x= 7/6

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|6x|=7

∣ 6 x ∣ = 7

x = - \frac{7}{6} or x = \frac{7}{6}

Decimal Notation

x = - 1.16666 \dots, x = 1.16666 \dots

Solution steps

∣ 6 x ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x = - 7 or 6 x = 7

6 x = - 7 or 6 x = 7

x = - \frac{7}{6} or x = \frac{7}{6}

ln ∣ y + 5 ∣ = x + ln (2)

3 - ∣ 4 x - 5 ∣ = - 15

∣ 5 - 4 x ∣ - 3 = 4

- 3 ∣ r - 4 ∣ - 7 = - 22

7 ∣ 2 - 11 x ∣ = 21