What is the answer to 2|2x-4|-5=-3 ?

The answer to 2|2x-4|-5=-3 is x= 3/2 \lor x= 5/2

Solve for x: 2|2x-4|-5=-3

The solution is x= 3/2 \lor x= 5/2

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2 ∣ 2 x - 4 ∣ - 5 = - 3

x = \frac{3}{2} or x = \frac{5}{2}

Decimal Notation

x = 1.5, x = 2.5

Solution steps

2 ∣ 2 x - 4 ∣ - 5 = - 3

Move

5

to the right side

2 ∣ 2 x - 4 ∣ = 2

Divide both sides by

2

∣ 2 x - 4 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 4 = - 1 or 2 x - 4 = 1

2 x - 4 = - 1 or 2 x - 4 = 1

x = \frac{3}{2} or x = \frac{5}{2}

∣ 6 - 5 x ∣ = 3

5 ∣ 2 - 11 x ∣ = 15

∣ - 4 x - 7 ∣ + 15 = 24

6 ∣ z - 250 ∣ = 120

- 2 ∣ m - 2 ∣ = - 6

What is the answer to 2|2x-4|-5=-3 ?
The answer to 2|2x-4|-5=-3 is x= 3/2 \lor x= 5/2
Solve for x: 2|2x-4|-5=-3
The solution is x= 3/2 \lor x= 5/2