What is the answer to 6|-2x-3|-12=30 ?

The answer to 6|-2x-3|-12=30 is x=-5\lor x=2

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6|-2x-3|-12=30

6 ∣ - 2 x - 3 ∣ - 12 = 30

x = - 5 or x = 2

Solution steps

6 ∣ - 2 x - 3 ∣ - 12 = 30

Move

12

to the right side

6 ∣ - 2 x - 3 ∣ = 42

Divide both sides by

6

∣ - 2 x - 3 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 2 x - 3 = - 7 or - 2 x - 3 = 7

- 2 x - 3 = - 7 or - 2 x - 3 = 7

x = - 5 or x = 2

∣ 4 x - 6 ∣ = x - 3

∣ 4 x - 6 ∣ = x - 1

2 + ∣ 4 x - 9 ∣ = 7

∣ 5 h + 2 ∣ = 8

∣ - 6 x + 5 ∣ = 4

What is the answer to 6|-2x-3|-12=30 ?
The answer to 6|-2x-3|-12=30 is x=-5\lor x=2
Solve for x: 6|-2x-3|-12=30
The solution is x=-5\lor x=2