What is the answer to 5|4x-20|-40=0 ?

The answer to 5|4x-20|-40=0 is x=3\lor x=7

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5|4x-20|-40=0

5 ∣ 4 x - 20 ∣ - 40 = 0

x = 3 or x = 7

Solution steps

5 ∣ 4 x - 20 ∣ - 40 = 0

Move

40

to the right side

5 ∣ 4 x - 20 ∣ = 40

Divide both sides by

5

∣ 4 x - 20 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 20 = - 8 or 4 x - 20 = 8

4 x - 20 = - 8 or 4 x - 20 = 8

x = 3 or x = 7

7 ∣ 6 + 8 x ∣ + 4 = 74

∣ - x ∣ = 8

∣ 2 y + 5 ∣ = 10

∣ x - 6 ∣ + 7 = 8

4 = ∣ x - 3 ∣ - 13

What is the answer to 5|4x-20|-40=0 ?
The answer to 5|4x-20|-40=0 is x=3\lor x=7
Solve for x: 5|4x-20|-40=0
The solution is x=3\lor x=7