What is the answer to |4-10x|=4 ?

The answer to |4-10x|=4 is x=0\lor x= 4/5

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|4-10x|=4

∣ 4 - 10 x ∣ = 4

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

Decimal Notation

x = 0, x = 0.8

Solution steps

∣ 4 - 10 x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - 10 x = - 4 or 4 - 10 x = 4

4 - 10 x = - 4 or 4 - 10 x = 4

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

- 2 ∣ - v ∣ = 0

∣ 7 - 4 x ∣ = 47

∣ 5 x + 3 x ∣ - 2 = 100

2 = 2 ∣ u - 5 ∣

2 ∣ 2 x - 6 ∣ + 5 = 21