What is the answer to 9+2|4x-3|=19 ?

The answer to 9+2|4x-3|=19 is x=-1/2 \lor x=2

Solve for x: 9+2|4x-3|=19

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

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9 + 2 ∣ 4 x - 3 ∣ = 19

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

Solution steps

9 + 2 ∣ 4 x - 3 ∣ = 19

Move

9

to the right side

2 ∣ 4 x - 3 ∣ = 10

Divide both sides by

2

∣ 4 x - 3 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 3 = - 5 or 4 x - 3 = 5

4 x - 3 = - 5 or 4 x - 3 = 5

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

∣ 2 - x ∣ = 2 - (x - 1)^{2}

∣ 3 x ∣ = 5 x + 4

x^{2} - x - 1 = 1

∣ 6 r - 9 ∣ = 27

∣ 3 - x ∣ + x = 4

What is the answer to 9+2|4x-3|=19 ?
The answer to 9+2|4x-3|=19 is x=-1/2 \lor x=2
Solve for x: 9+2|4x-3|=19
The solution is x=-1/2 \lor x=2