What is the answer to |3x-5|-1=6 ?

The answer to |3x-5|-1=6 is x=-2/3 \lor x=4

Solve for x: |3x-5|-1=6

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

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∣ 3 x - 5 ∣ - 1 = 6

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

Decimal

x = - 0.66666 \dots, x = 4

Solution steps

∣ 3 x - 5 ∣ - 1 = 6

Move

1

to the right side

∣ 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

∣ 7 x - 3 ∣ = 46

∣ 7 x - 3 ∣ = 39

- 2 \cdot ∣ 12 + 3 x ∣ = - 18

∣ 6 - 2 p ∣ = 16

∣ 7 x - 3 ∣ = 25