What is the answer to |5x-7|=3 ?

The answer to |5x-7|=3 is x= 4/5 \lor x=2

Solve for x: |5x-7|=3

The solution is x= 4/5 \lor x=2

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∣ 5 x - 7 ∣ = 3

x = \frac{4}{5} or x = 2

Decimal Notation

x = 0.8, x = 2

Solution steps

∣ 5 x - 7 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 7 = - 3 or 5 x - 7 = 3

5 x - 7 = - 3 or 5 x - 7 = 3

x = \frac{4}{5} or x = 2

- 8 + ∣ - 8 + 9 n ∣ = 29

∣ x ∣ + 8 = 3

∣ 3 n - 2 ∣ = \frac{1}{2}

3 ∣ 2 x ∣ + 4 = 12

2 ∣ - 5 n ∣ - 2 = 38