What is the answer to 5|2x-3|=25 ?

The answer to 5|2x-3|=25 is x=-1\lor x=4

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5|2x-3|=25

5 ∣ 2 x - 3 ∣ = 25

x = - 1 or x = 4

Solution steps

5 ∣ 2 x - 3 ∣ = 25

Divide both sides by

5

∣ 2 x - 3 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 3 = - 5 or 2 x - 3 = 5

2 x - 3 = - 5 or 2 x - 3 = 5

x = - 1 or x = 4

- \frac{x}{3} \geq 5

- 2 = - \frac{5}{7} (7) + b

- 2 \cdot 3^{- (1)}

5 x \geq 10

6 x + 18