What is the answer to 2|4x-5|-14=-6 ?

The answer to 2|4x-5|-14=-6 is x= 1/4 \lor x= 9/4

Solve for x: 2|4x-5|-14=-6

The solution is x= 1/4 \lor x= 9/4

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2 ∣ 4 x - 5 ∣ - 14 = - 6

x = \frac{1}{4} or x = \frac{9}{4}

Decimal Notation

x = 0.25, x = 2.25

Solution steps

2 ∣ 4 x - 5 ∣ - 14 = - 6

Move

14

to the right side

2 ∣ 4 x - 5 ∣ = 8

Divide both sides by

2

∣ 4 x - 5 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{1}{4} or x = \frac{9}{4}

∣ 4 x ∣ = 16

∣ u - 2 ∣ = - \frac{1}{7}

∣ x + 5 ∣ - 4 = 10

∣ 5 n + 1 ∣ = 8

∣ 4 x ∣ = 24

What is the answer to 2|4x-5|-14=-6 ?
The answer to 2|4x-5|-14=-6 is x= 1/4 \lor x= 9/4
Solve for x: 2|4x-5|-14=-6
The solution is x= 1/4 \lor x= 9/4