What is the answer to 2|x|-3=8 ?

The answer to 2|x|-3=8 is x=-11/2 \lor x= 11/2

Solve for x: 2|x|-3=8

The solution is x=-11/2 \lor x= 11/2

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2 ∣ x ∣ - 3 = 8

x = - \frac{11}{2} or x = \frac{11}{2}

Decimal Notation

x = - 5.5, x = 5.5

Solution steps

2 ∣ x ∣ - 3 = 8

Move

3

to the right side

2 ∣ x ∣ = 11

Divide both sides by

2

∣ x ∣ = \frac{11}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - \frac{11}{2} or x = \frac{11}{2}

∣ 3 x - 3 ∣ - 9 = 3

6 ∣ n ∣ = 0

\frac{x - 3}{4} = 5

∣ 0.3 - 25 x ∣ = 8

∣ 8 x + 12 ∣ = 8