What is the answer to |x-2.4|+4=6.4 ?

The answer to |x-2.4|+4=6.4 is x=0\lor x=4.8

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|x-2.4|+4=6.4

∣ x - 2.4 ∣ + 4 = 6.4

x = 0 or x = 4.8

Solution steps

∣ x - 2.4 ∣ + 4 = 6.4

Move

4

to the right side

∣ x - 2.4 ∣ = 2.4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2.4 = - 2.4 or x - 2.4 = 2.4

x - 2.4 = - 2.4 or x - 2.4 = 2.4

x = 0 or x = 4.8

∣ 9 x - 6 ∣ + 5 = 18

∣ a x ∣ - b = c, x

∣ x - 3 ∣ = 3 x + 1

∣ x + 6 ∣ + 12 = 12

8 + ∣ 4 a - 4 ∣ = 24

What is the answer to |x-2.4|+4=6.4 ?
The answer to |x-2.4|+4=6.4 is x=0\lor x=4.8
Solve for x: |x-2.4|+4=6.4
The solution is x=0\lor x=4.8