What is the answer to |5x-4|-8=24 ?

The answer to |5x-4|-8=24 is x=-28/5 \lor x= 36/5

Solve for x: |5x-4|-8=24

The solution is x=-28/5 \lor x= 36/5

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∣ 5 x - 4 ∣ - 8 = 24

x = - \frac{28}{5} or x = \frac{36}{5}

Decimal Notation

x = - 5.6, x = 7.2

Solution steps

∣ 5 x - 4 ∣ - 8 = 24

Move

8

to the right side

∣ 5 x - 4 ∣ = 32

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 4 = - 32 or 5 x - 4 = 32

5 x - 4 = - 32 or 5 x - 4 = 32

x = - \frac{28}{5} or x = \frac{36}{5}

∣ 4 x + 4 ∣ - 2 = 2

2 - ∣ 6 x ∣ = 1

2 = 8 + ∣ 10 x - 5 ∣

- 8 ∣ v + 6 ∣ = - 72

∣ 2 x + 4 ∣ + 7 = 6

What is the answer to |5x-4|-8=24 ?
The answer to |5x-4|-8=24 is x=-28/5 \lor x= 36/5
Solve for x: |5x-4|-8=24
The solution is x=-28/5 \lor x= 36/5