What is the answer to 9-7|-x-3|=-61 ?

The answer to 9-7|-x-3|=-61 is x=-13\lor x=7

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9-7|-x-3|=-61

9 - 7 ∣ - x - 3 ∣ = - 61

x = - 13 or x = 7

Solution steps

9 - 7 ∣ - x - 3 ∣ = - 61

Move

9

to the right side

- 7 ∣ - x - 3 ∣ = - 70

Divide both sides by

- 7

∣ - x - 3 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- x - 3 = - 10 or - x - 3 = 10

- x - 3 = - 10 or - x - 3 = 10

x = - 13 or x = 7

∣ 7 v - 3 ∣ = - v + 9

- ∣ - 8 - 2 x ∣ = - 12

5 ∣ x + 1 ∣ + 7 = - 38

∣ 2 a - 1 ∣ - 4 = 5

∣ 2 x + 5 ∣ - 3 = 10

What is the answer to 9-7|-x-3|=-61 ?
The answer to 9-7|-x-3|=-61 is x=-13\lor x=7
Solve for x: 9-7|-x-3|=-61
The solution is x=-13\lor x=7