What is the answer to 9-|6x|=5 ?

The answer to 9-|6x|=5 is x=-2/3 \lor x= 2/3

Solve for x: 9-|6x|=5

The solution is x=-2/3 \lor x= 2/3

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9 - ∣ 6 x ∣ = 5

x = - \frac{2}{3} or x = \frac{2}{3}

Decimal Notation

x = - 0.66666 \dots, x = 0.66666 \dots

Solution steps

9 - ∣ 6 x ∣ = 5

Move

9

to the right side

- ∣ 6 x ∣ = - 4

Divide both sides by

- 1

∣ 6 x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x = - 4 or 6 x = 4

6 x = - 4 or 6 x = 4

x = - \frac{2}{3} or x = \frac{2}{3}

4 ∣ x + 5 ∣ = 28

x^{2} - 8 = 4

2 ∣ 4 x - 3 ∣ - 8 = - 3

∣ x + 7 ∣ = 27

∣ 3 x + 1 ∣ = 6 x + 2