What is the answer to 5|2x|-4=26 ?

The answer to 5|2x|-4=26 is x=-3\lor x=3

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5|2x|-4=26

5 ∣ 2 x ∣ - 4 = 26

x = - 3 or x = 3

Solution steps

5 ∣ 2 x ∣ - 4 = 26

Move

4

to the right side

5 ∣ 2 x ∣ = 30

Divide both sides by

5

∣ 2 x ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x = - 6 or 2 x = 6

2 x = - 6 or 2 x = 6

x = - 3 or x = 3

∣ 3 x + 1 ∣ = 10

∣ - 3 x + 6 ∣ = 15

7 = \frac{c}{7}

∣ y + 1 ∣ = 41

2 ∣ x - 12 ∣ + 5 = 3