What is the answer to 8|-5+a|-2=102 ?

The answer to 8|-5+a|-2=102 is a=-8\lor a=18

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8|-5+a|-2=102

8 ∣ - 5 + a ∣ - 2 = 102

a = - 8 or a = 18

Solution steps

8 ∣ - 5 + a ∣ - 2 = 102

Move

2

to the right side

8 ∣ - 5 + a ∣ = 104

Divide both sides by

8

∣ - 5 + a ∣ = 13

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 5 + a = - 13 or - 5 + a = 13

- 5 + a = - 13 or - 5 + a = 13

a = - 8 or a = 18

∣ x + 2 ∣ = 16

∣ x + 2 ∣ = 11

∣ 1 - 3 t ∣ + 4 = 1

∣ - 5 c + 1 ∣ = 77

∣ 9 y + 2 ∣ - 1 = 37

What is the answer to 8|-5+a|-2=102 ?
The answer to 8|-5+a|-2=102 is a=-8\lor a=18
Solve for a: 8|-5+a|-2=102
The solution is a=-8\lor a=18