What is the answer to | 1/7 x+2|-6=-6 ?

The answer to | 1/7 x+2|-6=-6 is x=-14

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| 1/7 x+2|-6=-6

\frac{1}{7} x + 2 - 6 = - 6

x = - 14

Solution steps

\frac{1}{7} x + 2 - 6 = - 6

Add

6

to both sides

\frac{1}{7} x + 2 - 6 + 6 = - 6 + 6

Simplify

\frac{1}{7} x + 2 = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

\frac{1}{7} x + 2 = 0

\frac{1}{7} x + 2 = 0 : x = - 14

x = - 14

- 4 ∣ 5 x + 4 ∣ + 25 = 9

6 ∣ x - 3 ∣ = 42

∣ 5 x - 8 ∣ - 4 = - 2

∣ x - 1 ∣ - ∣ x + 3 ∣ = - 4

∣ 3 x - 9 ∣ - 24 = - 12