What is the answer to 10-10|-8x+4|=10 ?

The answer to 10-10|-8x+4|=10 is x= 1/2

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10-10|-8x+4|=10

10 - 10 ∣ - 8 x + 4 ∣ = 10

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

10 - 10 ∣ - 8 x + 4 ∣ = 10

Subtract

10

from both sides

10 - 10 ∣ - 8 x + 4 ∣ - 10 = 10 - 10

Simplify

- 10 ∣ - 8 x + 4 ∣ = 0

Divide both sides by

- 10

∣ - 8 x + 4 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

- 8 x + 4 = 0

- 8 x + 4 = 0 : x = \frac{1}{2}

x = \frac{1}{2}

∣ x - 10 ∣ = 11

∣ 4 n + 5 ∣ - 6 = - 1

∣ 3 - 3 x ∣ - x = 2, 6

∣ 3 x + 1 ∣ - 1 = 4 x

∣ x - 4 ∣ = 5 x + 12