What is the answer to 2|5-4x|+9=19 ?

The answer to 2|5-4x|+9=19 is x=0\lor x= 5/2

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2|5-4x|+9=19

2 ∣ 5 - 4 x ∣ + 9 = 19

x = 0 or x = \frac{5}{2}

Decimal Notation

x = 0, x = 2.5

Solution steps

2 ∣ 5 - 4 x ∣ + 9 = 19

Move

9

to the right side

2 ∣ 5 - 4 x ∣ = 10

Divide both sides by

2

∣ 5 - 4 x ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = \frac{5}{2}

- 4 ∣ 5 g - 12 ∣ = - 12

∣ - 5 b + 3 ∣ = 33

∣ 2 x - 1 ∣ = x - 5

∣ - 3 a + 5 ∣ = 9

∣ 4 c - 10 ∣ = 50

What is the answer to 2|5-4x|+9=19 ?
The answer to 2|5-4x|+9=19 is x=0\lor x= 5/2
Solve for x: 2|5-4x|+9=19
The solution is x=0\lor x= 5/2