What is the answer to -5+2|2x-4|=13 ?

The answer to -5+2|2x-4|=13 is x=-5/2 \lor x= 13/2

Solve for x: -5+2|2x-4|=13

The solution is x=-5/2 \lor x= 13/2

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- 5 + 2 ∣ 2 x - 4 ∣ = 13

x = - \frac{5}{2} or x = \frac{13}{2}

Solution steps

- 5 + 2 ∣ 2 x - 4 ∣ = 13

Move

5

to the right side

2 ∣ 2 x - 4 ∣ = 18

Divide both sides by

2

∣ 2 x - 4 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 4 = - 9 or 2 x - 4 = 9

2 x - 4 = - 9 or 2 x - 4 = 9

x = - \frac{5}{2} or x = \frac{13}{2}

9 ∣ - 8 - 5 x ∣ = 18

2 = ∣ t - 5 ∣

∣ x - 3 ∣ + 5 = 7

∣ x - 3 ∣ + 5 = 4

4 + 4 ∣ 5 x - 2 ∣ = 16

What is the answer to -5+2|2x-4|=13 ?
The answer to -5+2|2x-4|=13 is x=-5/2 \lor x= 13/2
Solve for x: -5+2|2x-4|=13
The solution is x=-5/2 \lor x= 13/2