What is the answer to |3x-5|-6=4 ?

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

Solve for x: |3x-5|-6=4

The solution is x=-5/3 \lor x=5

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∣ 3 x - 5 ∣ - 6 = 4

x = - \frac{5}{3} or x = 5

Decimal

x = - 1.66666 \dots, x = 5

Solution steps

∣ 3 x - 5 ∣ - 6 = 4

Move

6

to the right side

∣ 3 x - 5 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 5 = - 10 or 3 x - 5 = 10

3 x - 5 = - 10 or 3 x - 5 = 10

x = - \frac{5}{3} or x = 5

∣ x - 1 ∣ + ∣ 2 x - 6 ∣ = 5

∣ 1 - 5 x ∣ = 29

x^{2} + x - 5 = x^{2} + 5

2 ∣ x - 6 ∣ - 16 = 6 x

∣ x + 5 ∣ = 1