What is the answer to 4|x+1|-8=12 ?

The answer to 4|x+1|-8=12 is x=-6\lor x=4

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4|x+1|-8=12

4 ∣ x + 1 ∣ - 8 = 12

x = - 6 or x = 4

Solution steps

4 ∣ x + 1 ∣ - 8 = 12

Move

8

to the right side

4 ∣ x + 1 ∣ = 20

Divide both sides by

4

∣ 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

r^{2} + 14 r + 20 = 19

\frac{1}{3} x + \frac{2}{3} (x - 24) = \frac{1}{6} x - 6

6 x^{2} - 150 = 0

2^{4} \cdot 2^{2}

\frac{7 x}{3} + \frac{13}{2} - \frac{7 x}{6} = \frac{17}{12} - \frac{3 x}{4}