What is the answer to |2x-8|+3=5 ?

The answer to |2x-8|+3=5 is x=3\lor x=5

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|2x-8|+3=5

∣ 2 x - 8 ∣ + 3 = 5

x = 3 or x = 5

Solution steps

∣ 2 x - 8 ∣ + 3 = 5

Move

3

to the right side

∣ 2 x - 8 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 8 = - 2 or 2 x - 8 = 2

2 x - 8 = - 2 or 2 x - 8 = 2

x = 3 or x = 5

2 ∣ x + 3 ∣ + 12 = 8

∣ x - 1 ∣ - 3 = 5

7 ∣ x + 1 ∣ + 2 = 3

x^{2} - ∣ 3 x + 2 ∣ + 4 = 0

\frac{1}{3} x + 1 = 2