What is the answer to 3|2x-7|=21 ?

The answer to 3|2x-7|=21 is x=0\lor x=7

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3|2x-7|=21

3 ∣ 2 x - 7 ∣ = 21

x = 0 or x = 7

Solution steps

3 ∣ 2 x - 7 ∣ = 21

Divide both sides by

3

∣ 2 x - 7 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = 7

x^{2} - 4 = 4 + 2 x

∣ x ∣ = x^{2} + x - 63

2 = ∣ - g ∣

∣ x ∣ = x^{2} + x - 80

∣ Q - 8 ∣ = 14