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

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

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

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

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∣ 3 - 5 x ∣ = 7

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

Solution steps

∣ 3 - 5 x ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

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

∣ 3 x - 11 ∣ = x + 3

∣ - 3 x - 1 ∣ + 6 = 4

∣ x - 8 ∣ = 14

- ∣ 2 x - 6 ∣ + 1 = - 5

- 3 ∣ 9 x - 7 ∣ = 2