What is the answer to |5-7x|=9 ?

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

Solve for x: |5-7x|=9

The solution is x=-4/7 \lor x=2

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∣ 5 - 7 x ∣ = 9

x = - \frac{4}{7} or x = 2

Solution steps

∣ 5 - 7 x ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - 7 x = - 9 or 5 - 7 x = 9

5 - 7 x = - 9 or 5 - 7 x = 9

x = - \frac{4}{7} or x = 2

4 = ∣ v - 3 ∣

2 + ∣ 2 x - 4 ∣ = 10

∣ 3 x - 1 ∣ = 2 x - 3

2 ∣ x + 5 ∣ = 0

∣ - 2 d ∣ = 14