What is the answer to 3|4x-5|-2=19 ?

The answer to 3|4x-5|-2=19 is x=-1/2 \lor x=3

Solve for x: 3|4x-5|-2=19

The solution is x=-1/2 \lor x=3

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3 ∣ 4 x - 5 ∣ - 2 = 19

x = - \frac{1}{2} or x = 3

Decimal Notation

x = - 0.5, x = 3

Solution steps

3 ∣ 4 x - 5 ∣ - 2 = 19

Move

2

to the right side

3 ∣ 4 x - 5 ∣ = 21

Divide both sides by

3

∣ 4 x - 5 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 5 = - 7 or 4 x - 5 = 7

4 x - 5 = - 7 or 4 x - 5 = 7

x = - \frac{1}{2} or x = 3

∣ 2 x - 5 ∣ = 4

5 = \frac{t}{4}

- ∣ x ∣ = 1

- 4 ∣ 3 x + 1 ∣ + 5 = - 15

1 + ∣ 3 x + 6 ∣ + 4 x = 0

What is the answer to 3|4x-5|-2=19 ?
The answer to 3|4x-5|-2=19 is x=-1/2 \lor x=3
Solve for x: 3|4x-5|-2=19
The solution is x=-1/2 \lor x=3