What is the answer to 5|6+3x|-8=52 ?

The answer to 5|6+3x|-8=52 is x=-6\lor x=2

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5|6+3x|-8=52

5 ∣ 6 + 3 x ∣ - 8 = 52

x = - 6 or x = 2

Solution steps

5 ∣ 6 + 3 x ∣ - 8 = 52

Move

8

to the right side

5 ∣ 6 + 3 x ∣ = 60

Divide both sides by

5

∣ 6 + 3 x ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 + 3 x = - 12 or 6 + 3 x = 12

6 + 3 x = - 12 or 6 + 3 x = 12

x = - 6 or x = 2

59 = ∣ 9 - 5 y ∣

10 = \frac{y}{9}

∣ 4 x - 7 ∣ = 3

5 ∣ 6 - x ∣ + 9 = 34

∣ b - 9 ∣ = 20