What is the answer to (5|x-4|)/8 =10 ?

The answer to (5|x-4|)/8 =10 is x=-12\lor x=20

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(5|x-4|)/8 =10

\frac{5 ∣ x - 4 ∣}{8} = 10

x = - 12 or x = 20

Solution steps

\frac{5 ∣ x - 4 ∣}{8} = 10

Multiply both sides by

8

5 ∣ x - 4 ∣ = 80

Divide both sides by

5

∣ x - 4 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - 16 or x - 4 = 16

x - 4 = - 16 or x - 4 = 16

x = - 12 or x = 20

∣ b + 20 ∣ = 60

∣ x ∣ + ∣ y ∣ = 3

∣ 2 x + 5 ∣ + 8 = 23

∣ 8 + 10 k ∣ = 38

\frac{2}{7} ∣ - x - 3 ∣ - 10 = - 8

What is the answer to (5|x-4|)/8 =10 ?
The answer to (5|x-4|)/8 =10 is x=-12\lor x=20
Solve for x: (5|x-4|)/8 =10
The solution is x=-12\lor x=20