What is the answer to 3|2-5x|-1=5 ?

The answer to 3|2-5x|-1=5 is x=0\lor x= 4/5

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3|2-5x|-1=5

3 ∣ 2 - 5 x ∣ - 1 = 5

x = 0 or x = \frac{4}{5}

Decimal Notation

x = 0, x = 0.8

Solution steps

3 ∣ 2 - 5 x ∣ - 1 = 5

Move

1

to the right side

3 ∣ 2 - 5 x ∣ = 6

Divide both sides by

3

∣ 2 - 5 x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = \frac{4}{5}

∣ 3 x - 2 ∣ - 3 = 1

5 ∣ - 2 x + 10 ∣ = - 100

∣ 150 h - 160 ∣ = - 25

∣ - 3 + 2 x ∣ + 9 = 24

x^{3} + 1 = 1