What is the answer to |15-2x|=45 ?

The answer to |15-2x|=45 is x=-15\lor x=30

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|15-2x|=45

∣ 15 - 2 x ∣ = 45

x = - 15 or x = 30

Solution steps

∣ 15 - 2 x ∣ = 45

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

15 - 2 x = - 45 or 15 - 2 x = 45

15 - 2 x = - 45 or 15 - 2 x = 45

x = - 15 or x = 30

4 ∣ 2 x - 5 ∣ + 6 = 10

∣ 3 x + 9 ∣ - 7 = x

x^{2} - 5 x + 6 = 10

∣ x + 2 ∣ + x^{2} - 3 x + 2 = 4

x^{2} - 2 x = 2