What is the answer to 7|2x-5|=49 ?

The answer to 7|2x-5|=49 is x=-1\lor x=6

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7|2x-5|=49

7 ∣ 2 x - 5 ∣ = 49

x = - 1 or x = 6

Solution steps

7 ∣ 2 x - 5 ∣ = 49

Divide both sides by

7

∣ 2 x - 5 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 1 or x = 6

5 ∣ 13 - 2 t ∣ = 25

- 5 = 1 - 9 ∣ u ∣

\frac{2}{3} x = 8

∣ 5 g ∣ = 0

5 ∣ x ∣ = - 6