What is the answer to 5|-1+x|-8=37 ?

The answer to 5|-1+x|-8=37 is x=-8\lor x=10

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5|-1+x|-8=37

5 ∣ - 1 + x ∣ - 8 = 37

x = - 8 or x = 10

Solution steps

5 ∣ - 1 + x ∣ - 8 = 37

Move

8

to the right side

5 ∣ - 1 + x ∣ = 45

Divide both sides by

5

∣ - 1 + x ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 1 + x = - 9 or - 1 + x = 9

- 1 + x = - 9 or - 1 + x = 9

x = - 8 or x = 10

∣ 6 - 7 x ∣ = 7 x - 6

∣ g + 2 ∣ = - 18

∣ z ∣ + 3 = - 17

∣ - 4 + 3 c ∣ = 19

8 + ∣ 2 x ∣ = 12

What is the answer to 5|-1+x|-8=37 ?
The answer to 5|-1+x|-8=37 is x=-8\lor x=10
Solve for x: 5|-1+x|-8=37
The solution is x=-8\lor x=10