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

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

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

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7=|-6x|

7 = ∣ - 6 x ∣

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

Decimal Notation

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

Solution steps

7 = ∣ - 6 x ∣

Switch sides

∣ - 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}

4 ∣ 5 x - 8 ∣ - 3 = 5

∣ 1 - 4 x ∣ = 11

- 4 = - ∣ t ∣

∣ a + 1 ∣ = 11

∣ 6 x + 9 ∣ + 5 = 4