What is the answer to 9+|8x+8|=33 ?

The answer to 9+|8x+8|=33 is x=-4\lor x=2

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9+|8x+8|=33

9 + ∣ 8 x + 8 ∣ = 33

x = - 4 or x = 2

Solution steps

9 + ∣ 8 x + 8 ∣ = 33

Move

9

to the right side

∣ 8 x + 8 ∣ = 24

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

8 x + 8 = - 24 or 8 x + 8 = 24

8 x + 8 = - 24 or 8 x + 8 = 24

x = - 4 or x = 2

2 \frac{x}{3} + 4 = 1

∣ x - 2 ∣ + ∣ x + 8 ∣ = 10

∣ t ∣ + 1 = - 17

t - \frac{5}{8} = \frac{1}{56}

y, h = - ∣ y - 2 ∣