What is the answer to -2|x-1|+8=-6 ?

The answer to -2|x-1|+8=-6 is x=-6\lor x=8

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-2|x-1|+8=-6

- 2 ∣ x - 1 ∣ + 8 = - 6

x = - 6 or x = 8

Solution steps

- 2 ∣ x - 1 ∣ + 8 = - 6

Move

8

to the right side

- 2 ∣ x - 1 ∣ = - 14

Divide both sides by

- 2

∣ x - 1 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 1 = - 7 or x - 1 = 7

x - 1 = - 7 or x - 1 = 7

x = - 6 or x = 8

(\frac{3 x}{2})^{2}

\frac{2 x}{3} - 4 (\frac{x}{5} - \frac{1}{6}) = \frac{1}{15}

6 (x - 5) (x - 4) > 0

x - 7 > 22

x + 16 \leq 101