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

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

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|5x-4|+2=2

∣ 5 x - 4 ∣ + 2 = 2

x = \frac{4}{5}

Decimal Notation

x = 0.8

Solution steps

∣ 5 x - 4 ∣ + 2 = 2

Subtract

2

from both sides

∣ 5 x - 4 ∣ + 2 - 2 = 2 - 2

Simplify

∣ 5 x - 4 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

5 x - 4 = 0

5 x - 4 = 0 : x = \frac{4}{5}

x = \frac{4}{5}

∣ n + 5 ∣ = 5

7 ∣ h ∣ = 0

∣ x ∣ + 2 = - 5

- 1 + 3 ∣ x - 9 ∣ = 26

5 ∣ - 2 x - 3 ∣ - 10 = 25