What is the answer to 3|2x-7|=15 ?

The answer to 3|2x-7|=15 is x=1\lor x=6

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3|2x-7|=15

3 ∣ 2 x - 7 ∣ = 15

x = 1 or x = 6

Solution steps

3 ∣ 2 x - 7 ∣ = 15

Divide both sides by

3

∣ 2 x - 7 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 7 = - 5 or 2 x - 7 = 5

2 x - 7 = - 5 or 2 x - 7 = 5

x = 1 or x = 6

∣ 2 + 3 i ∣

16 k - 24

12 x - 7 > - 25

8 (0) + 2 y = 24

6^{2} + x^{2} = 8^{2}