What is the answer to -2|-2+z|+5=-7 ?

The answer to -2|-2+z|+5=-7 is z=-4\lor z=8

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-2|-2+z|+5=-7

- 2 ∣ - 2 + z ∣ + 5 = - 7

z = - 4 or z = 8

Solution steps

- 2 ∣ - 2 + z ∣ + 5 = - 7

Move

5

to the right side

- 2 ∣ - 2 + z ∣ = - 12

Divide both sides by

- 2

∣ - 2 + z ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 2 + z = - 6 or - 2 + z = 6

- 2 + z = - 6 or - 2 + z = 6

z = - 4 or z = 8

∣ x ∣ - 2 = - 5

8 x = ∣ 3 x - 5 ∣

- 9 ∣ n ∣ = - 18

∣ 5 x - 1 ∣ - 6 = 6

u \cdot u = ∣ u ∣^{2}

What is the answer to -2|-2+z|+5=-7 ?
The answer to -2|-2+z|+5=-7 is z=-4\lor z=8
Solve for z: -2|-2+z|+5=-7
The solution is z=-4\lor z=8