What is the answer to 7|2x-7|=35 ?

The answer to 7|2x-7|=35 is x=1\lor x=6

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7|2x-7|=35

7 ∣ 2 x - 7 ∣ = 35

x = 1 or x = 6

Solution steps

7 ∣ 2 x - 7 ∣ = 35

Divide both sides by

7

∣ 2 x - 7 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 1 or x = 6

∣ 7 v ∣ + 4 = 11

∣ x + 2 ∣ = 15

- 3 - ∣ 7 k - 3 ∣ = 14

∣ 2 + 3 t ∣ = 6 + 5 t

5 + 3 ∣ - 5 v - 1 ∣ = 2