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

The answer to |5x-7|=7 is x=0\lor x= 14/5

Solve for x: |5x-7|=7

The solution is x=0\lor x= 14/5

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∣ 5 x - 7 ∣ = 7

x = 0 or x = \frac{14}{5}

Decimal Notation

x = 0, x = 2.8

Solution steps

∣ 5 x - 7 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = \frac{14}{5}

- 2 = ∣ x - 4 ∣

4 ∣ 2 y - 3 ∣ - 1 = - 1

∣ 3 x + 1 ∣ = 4 x

∣ x - 2 ∣ - 3 = 0

2 ∣ x + 1 ∣ = - 10