What is the answer to -5=2|x|-6 ?

The answer to -5=2|x|-6 is x=-1/2 \lor x= 1/2

Solve for x: -5=2|x|-6

The solution is x=-1/2 \lor x= 1/2

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- 5 = 2 ∣ x ∣ - 6

x = - \frac{1}{2} or x = \frac{1}{2}

Decimal

x = - 0.5, x = 0.5

Solution steps

- 5 = 2 ∣ x ∣ - 6

Switch sides

2 ∣ x ∣ - 6 = - 5

Move

6

to the right side

2 ∣ x ∣ = 1

Divide both sides by

2

∣ x ∣ = \frac{1}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - \frac{1}{2} or x = \frac{1}{2}

- 18 = - 4 ∣ t ∣ - 5

∣ 3 x - 10 ∣ = 5

∣ 2 x + 1 ∣ - x = 2 x

∣ 125 x - 34 ∣ = - 2

∣ 3 x - 5 ∣ = ∣ 6 x + 10 ∣