What is the answer to 4-|5x-9|=-40 ?

The answer to 4-|5x-9|=-40 is x=-7\lor x= 53/5

Solve for x: 4-|5x-9|=-40

The solution is x=-7\lor x= 53/5

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4 - ∣ 5 x - 9 ∣ = - 40

x = - 7 or x = \frac{53}{5}

Solution steps

4 - ∣ 5 x - 9 ∣ = - 40

Move

4

to the right side

- ∣ 5 x - 9 ∣ = - 44

Divide both sides by

- 1

∣ 5 x - 9 ∣ = 44

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 9 = - 44 or 5 x - 9 = 44

5 x - 9 = - 44 or 5 x - 9 = 44

x = - 7 or x = \frac{53}{5}

2 ∣ 2 x + 3 ∣ - 10 = 0

∣ 3 x - 6 ∣ = 1

\frac{1}{4} x - 3 = 10

∣ r - 9 ∣ = - 3

- ∣ 2 x + 7 ∣ - 1 = - 3

What is the answer to 4-|5x-9|=-40 ?
The answer to 4-|5x-9|=-40 is x=-7\lor x= 53/5
Solve for x: 4-|5x-9|=-40
The solution is x=-7\lor x= 53/5