What is the answer to -293=7-5|-2q-460| ?

The answer to -293=7-5|-2q-460| is q=-260\lor q=-200

Solve for q: -293=7-5|-2q-460|

The solution is q=-260\lor q=-200

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- 293 = 7 - 5 ∣ - 2 q - 460 ∣

q = - 260 or q = - 200

Solution steps

- 293 = 7 - 5 ∣ - 2 q - 460 ∣

Switch sides

7 - 5 ∣ - 2 q - 460 ∣ = - 293

Move

7

to the right side

- 5 ∣ - 2 q - 460 ∣ = - 300

Divide both sides by

- 5

∣ - 2 q - 460 ∣ = 60

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 2 q - 460 = - 60 or - 2 q - 460 = 60

- 2 q - 460 = - 60 or - 2 q - 460 = 60

q = - 260 or q = - 200

2 - 3 ∣ x + 1 ∣ = 4 x - 5

∣ 3 b + 4 ∣ - 3 = 22

∣ x - 3 ∣ = 5 x + 5

∣ p ∣ - 2 = 8

∣ n ∣ - 5 = - 2

What is the answer to -293=7-5|-2q-460| ?
The answer to -293=7-5|-2q-460| is q=-260\lor q=-200
Solve for q: -293=7-5|-2q-460|
The solution is q=-260\lor q=-200