What is the answer to 21-7|2x+5|=-14 ?

The answer to 21-7|2x+5|=-14 is x=-5\lor x=0

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21-7|2x+5|=-14

21 - 7 ∣ 2 x + 5 ∣ = - 14

x = - 5 or x = 0

Solution steps

21 - 7 ∣ 2 x + 5 ∣ = - 14

Move

21

to the right side

- 7 ∣ 2 x + 5 ∣ = - 35

Divide both sides by

- 7

∣ 2 x + 5 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 5 = - 5 or 2 x + 5 = 5

2 x + 5 = - 5 or 2 x + 5 = 5

x = - 5 or x = 0

∣ 3 - 2 x ∣ - ∣ x + 5 ∣ = - 3 x - 2

∣ 4 y + 1 ∣ + 10 = 4

- 10 ∣ x + 10 ∣ = - 20

∣ 6 v + 24 ∣ = 0

4 ∣ 2 x - 1 ∣ + 2 x = 16

What is the answer to 21-7|2x+5|=-14 ?
The answer to 21-7|2x+5|=-14 is x=-5\lor x=0
Solve for x: 21-7|2x+5|=-14
The solution is x=-5\lor x=0