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

The answer to 3|2x-5|-5=4 is x=1\lor x=4

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3|2x-5|-5=4

3 ∣ 2 x - 5 ∣ - 5 = 4

x = 1 or x = 4

Solution steps

3 ∣ 2 x - 5 ∣ - 5 = 4

Move

5

to the right side

3 ∣ 2 x - 5 ∣ = 9

Divide both sides by

3

∣ 2 x - 5 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 5 = - 3 or 2 x - 5 = 3

2 x - 5 = - 3 or 2 x - 5 = 3

x = 1 or x = 4

2 - 3 ∣ 7 x + 4 ∣ = - 91

x, y = ∣ 2 - x ∣

2 - \frac{1}{3} y = 9

2 ∣ x + 4 ∣ = 14

- ∣ - a ∣ = 11