What is the answer to 2|5x-7|=4 ?

The answer to 2|5x-7|=4 is x=1\lor x= 9/5

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2|5x-7|=4

2 ∣ 5 x - 7 ∣ = 4

x = 1 or x = \frac{9}{5}

Decimal Notation

x = 1, x = 1.8

Solution steps

2 ∣ 5 x - 7 ∣ = 4

Divide both sides by

2

∣ 5 x - 7 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 1 or x = \frac{9}{5}

- 2 ∣ x + 10 ∣ = 6 x - 4

x^{2} - 25 = 25 - x^{2}

2 x - 7 + ∣ x + 1 ∣ = 0

12 = ∣ m + 6 ∣

\frac{∣ p - 8 ∣}{10} = 5