What is the answer to |2x-4|+3=15 ?

The answer to |2x-4|+3=15 is x=-4\lor x=8

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|2x-4|+3=15

∣ 2 x - 4 ∣ + 3 = 15

x = - 4 or x = 8

Solution steps

∣ 2 x - 4 ∣ + 3 = 15

Move

3

to the right side

∣ 2 x - 4 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 4 = - 12 or 2 x - 4 = 12

2 x - 4 = - 12 or 2 x - 4 = 12

x = - 4 or x = 8

\frac{1}{2} ∣ z - 3 ∣ - 5 = - 2

∣ 3 x + 5 ∣ = 5 x + 11

3 ∣ x - 9 ∣ = ∣ - 4 x + 8 ∣

22 = ∣ 4 x + 10 ∣

∣ x - 1 ∣ = 19