What is the answer to 5|x+6|-8.3=1.7 ?

The answer to 5|x+6|-8.3=1.7 is x=-8\lor x=-4

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5|x+6|-8.3=1.7

5 ∣ x + 6 ∣ - 8.3 = 1.7

x = - 8 or x = - 4

Solution steps

5 ∣ x + 6 ∣ - 8.3 = 1.7

Move

8.3

to the right side

5 ∣ x + 6 ∣ = 10

Divide both sides by

5

∣ x + 6 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 6 = - 2 or x + 6 = 2

x + 6 = - 2 or x + 6 = 2

x = - 8 or x = - 4

3 ∣ x + 5 ∣ - 1 = 11

∣ 6 x + 4 ∣ = 8 x + 10

∣ 2 w ∣ = - 12

5 ∣ x + 9 ∣ - 7 = 3

∣ 2 x + 1 ∣ = x

What is the answer to 5|x+6|-8.3=1.7 ?
The answer to 5|x+6|-8.3=1.7 is x=-8\lor x=-4
Solve for x: 5|x+6|-8.3=1.7
The solution is x=-8\lor x=-4