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

The answer to 5|x-4|-9=2 is x= 9/5 \lor x= 31/5

Solve for x: 5|x-4|-9=2

The solution is x= 9/5 \lor x= 31/5

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5 ∣ x - 4 ∣ - 9 = 2

x = \frac{9}{5} or x = \frac{31}{5}

Solution steps

5 ∣ x - 4 ∣ - 9 = 2

Move

9

to the right side

5 ∣ x - 4 ∣ = 11

Divide both sides by

5

∣ x - 4 ∣ = \frac{11}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 4 = - \frac{11}{5} or x - 4 = \frac{11}{5}

x - 4 = - \frac{11}{5} or x - 4 = \frac{11}{5}

x = \frac{9}{5} or x = \frac{31}{5}

∣ 3 x + 5 ∣ + 8 = 7

- 3 = ∣ x ∣

\frac{1}{5} ∣ x - 3 ∣ = 18

∣ 4 x + 3 ∣ + 5 = 3

0 = 2 ∣ x + 2 ∣ - 8

What is the answer to 5|x-4|-9=2 ?
The answer to 5|x-4|-9=2 is x= 9/5 \lor x= 31/5
Solve for x: 5|x-4|-9=2
The solution is x= 9/5 \lor x= 31/5