What is the answer to 2|4x-3|-2=8 ?

The answer to 2|4x-3|-2=8 is x=-1/2 \lor x=2

Solve for x: 2|4x-3|-2=8

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

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2 ∣ 4 x - 3 ∣ - 2 = 8

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

Decimal Notation

x = - 0.5, x = 2

Solution steps

2 ∣ 4 x - 3 ∣ - 2 = 8

Move

2

to the right side

2 ∣ 4 x - 3 ∣ = 10

Divide both sides by

2

∣ 4 x - 3 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 3 = - 5 or 4 x - 3 = 5

4 x - 3 = - 5 or 4 x - 3 = 5

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

∣ 3 y - 2 ∣ - 2 = 0

6 ∣ 2 x - 8 ∣ + 9 = 18

5 - 9 ∣ - 9 x + 9 ∣ = 86

8 ∣ d - 12 ∣ - 24 = 0

5 (∣ 2 x + a ∣ + 3 a) - 4 a = 31 a

What is the answer to 2|4x-3|-2=8 ?
The answer to 2|4x-3|-2=8 is x=-1/2 \lor x=2
Solve for x: 2|4x-3|-2=8
The solution is x=-1/2 \lor x=2