What is the answer to 8|-4x+34|+10=122 ?

The answer to 8|-4x+34|+10=122 is x=5\lor x=12

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8|-4x+34|+10=122

8 ∣ - 4 x + 34 ∣ + 10 = 122

x = 5 or x = 12

Solution steps

8 ∣ - 4 x + 34 ∣ + 10 = 122

Move

10

to the right side

8 ∣ - 4 x + 34 ∣ = 112

Divide both sides by

8

∣ - 4 x + 34 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 4 x + 34 = - 14 or - 4 x + 34 = 14

- 4 x + 34 = - 14 or - 4 x + 34 = 14

x = 5 or x = 12

8 ∣ 4 x - 3 ∣ = - 24

∣ v + 5 ∣ - 6 = 8

7 = ∣ x - 1 ∣ - 7

∣ m ∣ = 10

∣ t - 4 ∣ = 17

What is the answer to 8|-4x+34|+10=122 ?
The answer to 8|-4x+34|+10=122 is x=5\lor x=12
Solve for x: 8|-4x+34|+10=122
The solution is x=5\lor x=12