What is the answer to 10-|x+1|=5 ?

The answer to 10-|x+1|=5 is x=-6\lor x=4

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10-|x+1|=5

10 - ∣ x + 1 ∣ = 5

x = - 6 or x = 4

Solution steps

10 - ∣ x + 1 ∣ = 5

Move

10

to the right side

- ∣ x + 1 ∣ = - 5

Divide both sides by

- 1

∣ x + 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 1 = - 5 or x + 1 = 5

x + 1 = - 5 or x + 1 = 5

x = - 6 or x = 4

2 x - x^{2} - 3 x = 1

x^{2} - 2 + ∣ x - 1 ∣ = x^{2} - x - 1

∣ x - 3 ∣ - ∣ 2 x - 5 ∣ = 0

\frac{1}{2} x - \frac{2}{3} - 1 = \frac{1}{6}

∣ x - 3 ∣ + ∣ 3 - x ∣ = 1