What is the answer to -4|2x-3|+12=-8 ?

The answer to -4|2x-3|+12=-8 is x=-1\lor x=4

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-4|2x-3|+12=-8

- 4 ∣ 2 x - 3 ∣ + 12 = - 8

x = - 1 or x = 4

Solution steps

- 4 ∣ 2 x - 3 ∣ + 12 = - 8

Move

12

to the right side

- 4 ∣ 2 x - 3 ∣ = - 20

Divide both sides by

- 4

∣ 2 x - 3 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 3 = - 5 or 2 x - 3 = 5

2 x - 3 = - 5 or 2 x - 3 = 5

x = - 1 or x = 4

∣ d - 4 ∣ = 3

2 ∣ x ∣ - 1 = 5

∣ 5 y - 15 ∣ = 5

\frac{1}{3} ∣ 4 p - 11 ∣ = p + 4

- 2 ∣ b - 3 ∣ - 5 = 7

What is the answer to -4|2x-3|+12=-8 ?
The answer to -4|2x-3|+12=-8 is x=-1\lor x=4
Solve for x: -4|2x-3|+12=-8
The solution is x=-1\lor x=4