What is the answer to -10=-2|s-7| ?

The answer to -10=-2|s-7| is s=2\lor s=12

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-10=-2|s-7|

- 10 = - 2 ∣ s - 7 ∣

s = 2 or s = 12

Solution steps

- 10 = - 2 ∣ s - 7 ∣

Switch sides

- 2 ∣ s - 7 ∣ = - 10

Divide both sides by

- 2

∣ s - 7 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

s - 7 = - 5 or s - 7 = 5

s - 7 = - 5 or s - 7 = 5

s = 2 or s = 12

\frac{9}{8} ∣ x ∣ = 4

4 ∣ 3 w + 8 ∣ = 16 w

∣ 4 z + 16 ∣ = 2

8 ∣ - 5 + a ∣ - 2 = 102

∣ x + 2 ∣ = 16