What is the answer to 2|x+1|-7=-3 ?

The answer to 2|x+1|-7=-3 is x=-3\lor x=1

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2|x+1|-7=-3

2 ∣ x + 1 ∣ - 7 = - 3

x = - 3 or x = 1

Solution steps

2 ∣ x + 1 ∣ - 7 = - 3

Move

7

to the right side

2 ∣ x + 1 ∣ = 4

Divide both sides by

2

∣ x + 1 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 1 = - 2 or x + 1 = 2

x + 1 = - 2 or x + 1 = 2

x = - 3 or x = 1

(- 4)^{4}

(2 5^{\frac{1}{8}})^{4}

- \frac{3}{4}

(- \frac{2}{3})^{2} + y^{2} = 1

2 ∣ 4 x - 1 ∣ - 4 x = 18