What is the answer to 5|(x-4)/3 |=40 ?

The answer to 5|(x-4)/3 |=40 is x=-20\lor x=28

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5|(x-4)/3 |=40

5 \frac{x - 4}{3} = 40

x = - 20 or x = 28

Solution steps

5 \frac{x - 4}{3} = 40

Divide both sides by

5

\frac{x - 4}{3} = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{x - 4}{3} = - 8 or \frac{x - 4}{3} = 8

\frac{x - 4}{3} = - 8 or \frac{x - 4}{3} = 8

x = - 20 or x = 28

∣ x + 5 ∣ = 2 x + 3

∣ 4 x + 2 ∣ = - 18

∣ 4 x + 2 ∣ = - 14

∣ 4 x + 2 ∣ = - 10

x + ∣ 2 x + 3 ∣ = 1

What is the answer to 5|(x-4)/3 |=40 ?
The answer to 5|(x-4)/3 |=40 is x=-20\lor x=28
Solve for x: 5|(x-4)/3 |=40
The solution is x=-20\lor x=28