What is the answer to |(4x-8)/5 |=4 ?

The answer to |(4x-8)/5 |=4 is x=-3\lor x=7

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|(4x-8)/5 |=4

\frac{4 x - 8}{5} = 4

x = - 3 or x = 7

Solution steps

\frac{4 x - 8}{5} = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{4 x - 8}{5} = - 4 or \frac{4 x - 8}{5} = 4

\frac{4 x - 8}{5} = - 4 or \frac{4 x - 8}{5} = 4

x = - 3 or x = 7

5 + 7 ∣ x + 6 ∣ = 19

∣ 6 - 3 x ∣ = 18

3 ∣ x - 5 ∣ = 18

∣ 10 x + 2 ∣ + 8 = 1

∣ x + 15 ∣ = 37

What is the answer to |(4x-8)/5 |=4 ?
The answer to |(4x-8)/5 |=4 is x=-3\lor x=7
Solve for x: |(4x-8)/5 |=4
The solution is x=-3\lor x=7