What is the answer to 6|2x-8|+9=18 ?

The answer to 6|2x-8|+9=18 is x= 13/4 \lor x= 19/4

Solve for x: 6|2x-8|+9=18

The solution is x= 13/4 \lor x= 19/4

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6 ∣ 2 x - 8 ∣ + 9 = 18

x = \frac{13}{4} or x = \frac{19}{4}

Solution steps

6 ∣ 2 x - 8 ∣ + 9 = 18

Move

9

to the right side

6 ∣ 2 x - 8 ∣ = 9

Divide both sides by

6

∣ 2 x - 8 ∣ = \frac{3}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 8 = - \frac{3}{2} or 2 x - 8 = \frac{3}{2}

2 x - 8 = - \frac{3}{2} or 2 x - 8 = \frac{3}{2}

x = \frac{13}{4} or x = \frac{19}{4}

5 - 9 ∣ - 9 x + 9 ∣ = 86

8 ∣ d - 12 ∣ - 24 = 0

5 (∣ 2 x + a ∣ + 3 a) - 4 a = 31 a

∣ - 18 + x ∣ = 2

- 3 ∣ 4 x - 3 ∣ + 20 = 5

What is the answer to 6|2x-8|+9=18 ?
The answer to 6|2x-8|+9=18 is x= 13/4 \lor x= 19/4
Solve for x: 6|2x-8|+9=18
The solution is x= 13/4 \lor x= 19/4