What is the answer to |4x-5|=19 ?

The answer to |4x-5|=19 is x=-7/2 \lor x=6

Solve for x: |4x-5|=19

The solution is x=-7/2 \lor x=6

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∣ 4 x - 5 ∣ = 19

x = - \frac{7}{2} or x = 6

Decimal Notation

x = - 3.5, x = 6

Solution steps

∣ 4 x - 5 ∣ = 19

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 5 = - 19 or 4 x - 5 = 19

4 x - 5 = - 19 or 4 x - 5 = 19

x = - \frac{7}{2} or x = 6

- 2 ∣ 5 x - 1 ∣ - 3 = 11

∣ x - 1 ∣ = 2 x - 6

∣ x - 1 ∣ = 2 x - 1

∣ x + 2 ∣ = 8

4 - 9 ∣ - 6 - b ∣ = - 14