What is the answer to 4|10-2x|-8=24 ?

The answer to 4|10-2x|-8=24 is x=1\lor x=9

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4|10-2x|-8=24

4 ∣ 10 - 2 x ∣ - 8 = 24

x = 1 or x = 9

Solution steps

4 ∣ 10 - 2 x ∣ - 8 = 24

Move

8

to the right side

4 ∣ 10 - 2 x ∣ = 32

Divide both sides by

4

∣ 10 - 2 x ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

10 - 2 x = - 8 or 10 - 2 x = 8

10 - 2 x = - 8 or 10 - 2 x = 8

x = 1 or x = 9

∣ 4 x - 5 ∣ = 7

∣ 5 x + 15 ∣ = 10

∣ x - 3 ∣ - 10 = - 5

\frac{x + 4}{5} = - 5

∣ 5 m + 1 ∣ = 9

What is the answer to 4|10-2x|-8=24 ?
The answer to 4|10-2x|-8=24 is x=1\lor x=9
Solve for x: 4|10-2x|-8=24
The solution is x=1\lor x=9