What is the answer to 4+2|x-4|=10 ?

The answer to 4+2|x-4|=10 is x=1\lor x=7

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4+2|x-4|=10

4 + 2 ∣ x - 4 ∣ = 10

x = 1 or x = 7

Solution steps

4 + 2 ∣ x - 4 ∣ = 10

Move

4

to the right side

2 ∣ x - 4 ∣ = 6

Divide both sides by

2

∣ x - 4 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - 3 or x - 4 = 3

x - 4 = - 3 or x - 4 = 3

x = 1 or x = 7

\frac{1}{3} ∣ 6 x + 6 ∣ + 4 = 14

∣ 6 x + 4 ∣ = ∣ 5 x + 6 ∣

y, x^{2} + ∣ y ∣ = 1

- 2 ∣ 2 x + 3 ∣ = - 18

∣ 7 - 7 b ∣ = 0