What is the answer to 2|x+1|+5=9 ?

The answer to 2|x+1|+5=9 is x=-3\lor x=1

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2|x+1|+5=9

2 ∣ x + 1 ∣ + 5 = 9

x = - 3 or x = 1

Solution steps

2 ∣ x + 1 ∣ + 5 = 9

Move

5

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

(\frac{125}{216})^{\frac{2}{3}}

t^{2} - 3 t - 10

129 6^{- \frac{1}{4}}

\frac{2 - 5 m}{m - 9} + \frac{4 m - 5}{9 - m}

6 x^{2} - 6 x - 6 = 0