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

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

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

The solution is x=-2/3 \lor x=4

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∣ 3 x - 5 ∣ = 7

x = - \frac{2}{3} or x = 4

Decimal Notation

x = - 0.66666 \dots, x = 4

Solution steps

∣ 3 x - 5 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{2}{3} or x = 4

∣ 3 x + 2 ∣ = 10

∣ - b + 6 ∣ = 9

∣ y - 12 ∣ = 16

∣ - 7 + y ∣ = 13

∣ 5 x - 9 ∣ - 9 = 3