What is the answer to -4|5x-2|-10=-38 ?

The answer to -4|5x-2|-10=-38 is x=-1\lor x= 9/5

Solve for x: -4|5x-2|-10=-38

The solution is x=-1\lor x= 9/5

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- 4 ∣ 5 x - 2 ∣ - 10 = - 38

x = - 1 or x = \frac{9}{5}

Decimal Notation

x = - 1, x = 1.8

Solution steps

- 4 ∣ 5 x - 2 ∣ - 10 = - 38

Move

10

to the right side

- 4 ∣ 5 x - 2 ∣ = - 28

Divide both sides by

- 4

∣ 5 x - 2 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 2 = - 7 or 5 x - 2 = 7

5 x - 2 = - 7 or 5 x - 2 = 7

x = - 1 or x = \frac{9}{5}

1 - ∣ 10 - 5 x ∣ = - 5

∣ y + 7 ∣ = 19

∣ 2 y - 3 ∣ = 29

∣ x - 9 ∣ = 2 x

∣ x - 8 ∣ = 3 x

What is the answer to -4|5x-2|-10=-38 ?
The answer to -4|5x-2|-10=-38 is x=-1\lor x= 9/5
Solve for x: -4|5x-2|-10=-38
The solution is x=-1\lor x= 9/5