What is the answer to 2|4x-5|-8=-6 ?

The answer to 2|4x-5|-8=-6 is x=1\lor x= 3/2

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2|4x-5|-8=-6

2 ∣ 4 x - 5 ∣ - 8 = - 6

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

Solution steps

2 ∣ 4 x - 5 ∣ - 8 = - 6

Move

8

to the right side

2 ∣ 4 x - 5 ∣ = 2

Divide both sides by

2

∣ 4 x - 5 ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 5 = - 1 or 4 x - 5 = 1

4 x - 5 = - 1 or 4 x - 5 = 1

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

∣ x - 2 ∣ = 3 x

5 + ∣ x - 2 ∣ = 7

∣ 0.5 x + 3 ∣ = x^{2} - 4

∣ x + 4 ∣ = - 7

∣ x + 4 ∣ = 2 x

What is the answer to 2|4x-5|-8=-6 ?
The answer to 2|4x-5|-8=-6 is x=1\lor x= 3/2
Solve for x: 2|4x-5|-8=-6
The solution is x=1\lor x= 3/2