What is the answer to 7|2x-7|=49 ?

The answer to 7|2x-7|=49 is x=0\lor x=7

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7|2x-7|=49

7 ∣ 2 x - 7 ∣ = 49

x = 0 or x = 7

Solution steps

7 ∣ 2 x - 7 ∣ = 49

Divide both sides by

7

∣ 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

- 7 (3 + s) - (- 10 s) > - 147

∣ - 3 x + 5 ∣ \geq 7

x^{2} - 5 x - 104 = 0

\frac{3}{5} - 2

40 x^{4} y^{6}