What is the answer to |5x-4|-3=8 ?

The answer to |5x-4|-3=8 is x=-7/5 \lor x=3

Solve for x: |5x-4|-3=8

The solution is x=-7/5 \lor x=3

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∣ 5 x - 4 ∣ - 3 = 8

x = - \frac{7}{5} or x = 3

Decimal Notation

x = - 1.4, x = 3

Solution steps

∣ 5 x - 4 ∣ - 3 = 8

Move

3

to the right side

∣ 5 x - 4 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 4 = - 11 or 5 x - 4 = 11

5 x - 4 = - 11 or 5 x - 4 = 11

x = - \frac{7}{5} or x = 3

∣ 3 - x ∣ = 12

∣ 3 x - 15 ∣ = 5 - 2 x

x^{2} - x - 2 = 2

- 42 = 5 ∣ x - 3 ∣ + 3

∣ x - 8 ∣ = 13