What is the answer to 7|-2x-3|-14=35 ?

The answer to 7|-2x-3|-14=35 is x=-5\lor x=2

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7|-2x-3|-14=35

7 ∣ - 2 x - 3 ∣ - 14 = 35

x = - 5 or x = 2

Solution steps

7 ∣ - 2 x - 3 ∣ - 14 = 35

Move

14

to the right side

7 ∣ - 2 x - 3 ∣ = 49

Divide both sides by

7

∣ - 2 x - 3 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 2 x - 3 = - 7 or - 2 x - 3 = 7

- 2 x - 3 = - 7 or - 2 x - 3 = 7

x = - 5 or x = 2

∣ - 2 x ∣ = 3 x + 6

4 - ∣ 3 x + 5 ∣ = 3

∣ 2 x + 9 ∣ = 30

∣ - 5 n ∣ = 5

∣ 2 - 3 x ∣ + 2 - 3 x = 6

What is the answer to 7|-2x-3|-14=35 ?
The answer to 7|-2x-3|-14=35 is x=-5\lor x=2
Solve for x: 7|-2x-3|-14=35
The solution is x=-5\lor x=2