What is the answer to -3|2x-1|+5=-10 ?

The answer to -3|2x-1|+5=-10 is x=-2\lor x=3

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-3|2x-1|+5=-10

- 3 ∣ 2 x - 1 ∣ + 5 = - 10

x = - 2 or x = 3

Solution steps

- 3 ∣ 2 x - 1 ∣ + 5 = - 10

Move

5

to the right side

- 3 ∣ 2 x - 1 ∣ = - 15

Divide both sides by

- 3

∣ 2 x - 1 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 1 = - 5 or 2 x - 1 = 5

2 x - 1 = - 5 or 2 x - 1 = 5

x = - 2 or x = 3

4 - ∣ x ∣ = 0

∣ 3 - 5 x ∣ = 3

9 = ∣ 3 x - 10 ∣ + 3

3 ∣ 2 - 3 x ∣ + 2 = x + 5

3 ∣ v + 8 ∣ - 15 = 6

What is the answer to -3|2x-1|+5=-10 ?
The answer to -3|2x-1|+5=-10 is x=-2\lor x=3
Solve for x: -3|2x-1|+5=-10
The solution is x=-2\lor x=3