What is the answer to 2|x+1|+3=9 ?

The answer to 2|x+1|+3=9 is x=-4\lor x=2

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2|x+1|+3=9

2 ∣ x + 1 ∣ + 3 = 9

x = - 4 or x = 2

Solution steps

2 ∣ x + 1 ∣ + 3 = 9

Move

3

to the right side

2 ∣ x + 1 ∣ = 6

Divide both sides by

2

∣ x + 1 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 1 = - 3 or x + 1 = 3

x + 1 = - 3 or x + 1 = 3

x = - 4 or x = 2

5 x \leq 21 + 2 x or 3 (x + 1) \geq 24

\frac{5}{6} = \frac{w + 3}{7}

\frac{x}{4} = 4 - \frac{x + 2}{3}

\frac{1}{2} \cdot 6 \cdot 7

(2 x + 3) + (x - 1) = 17