What is the answer to -4|2x-5|+5=-19 ?

The answer to -4|2x-5|+5=-19 is x=-1/2 \lor x= 11/2

Solve for x: -4|2x-5|+5=-19

The solution is x=-1/2 \lor x= 11/2

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- 4 ∣ 2 x - 5 ∣ + 5 = - 19

x = - \frac{1}{2} or x = \frac{11}{2}

Decimal Notation

x = - 0.5, x = 5.5

Solution steps

- 4 ∣ 2 x - 5 ∣ + 5 = - 19

Move

5

to the right side

- 4 ∣ 2 x - 5 ∣ = - 24

Divide both sides by

- 4

∣ 2 x - 5 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 5 = - 6 or 2 x - 5 = 6

2 x - 5 = - 6 or 2 x - 5 = 6

x = - \frac{1}{2} or x = \frac{11}{2}

∣ 9 - 3 c ∣ = 4

∣ 5 x - 6 ∣ - 4 = 10

3 x^{2} - 11 x + 1 = 5

∣ 2 x - 19 ∣ = 4 x + 1

5 ∣ 6 + 3 x ∣ - 8 = 52

What is the answer to -4|2x-5|+5=-19 ?
The answer to -4|2x-5|+5=-19 is x=-1/2 \lor x= 11/2
Solve for x: -4|2x-5|+5=-19
The solution is x=-1/2 \lor x= 11/2