What is the answer to 5|2x-5|=35 ?

The answer to 5|2x-5|=35 is x=-1\lor x=6

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5|2x-5|=35

5 ∣ 2 x - 5 ∣ = 35

x = - 1 or x = 6

Solution steps

5 ∣ 2 x - 5 ∣ = 35

Divide both sides by

5

∣ 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 ∣ 2 x - 5 ∣ = 25

∣ 5 m + 4 ∣ + 12 = - 3

1 + 3 ∣ x - 2 ∣ = 16

∣ h ∣ = - 19

\frac{x}{5} + 10 = 12