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

The answer to 7|2x-7|=21 is x=2\lor x=5

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7|2x-7|=21

7 ∣ 2 x - 7 ∣ = 21

x = 2 or x = 5

Solution steps

7 ∣ 2 x - 7 ∣ = 21

Divide both sides by

7

∣ 2 x - 7 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 7 = - 3 or 2 x - 7 = 3

2 x - 7 = - 3 or 2 x - 7 = 3

x = 2 or x = 5

5 x + 3 \geq 8 x - 1

r^{2} - 4 r - 91 = 7

5 + \frac{1}{3}

3 y^{2} + 5 y = 12

1 2^{\frac{1}{8}} \cdot 1 2^{\frac{5}{6}}