What is the answer to 5|x-4|+9=20 ?

The answer to 5|x-4|+9=20 is x= 9/5 \lor x= 31/5

Solve for x: 5|x-4|+9=20

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

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5 ∣ x - 4 ∣ + 9 = 20

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

Decimal Notation

x = 1.8, x = 6.2

Solution steps

5 ∣ x - 4 ∣ + 9 = 20

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}

- 8 = ∣ 4 s ∣ - 8

- 1 (a) = ∣ - 2 a + 3 ∣

3 + ∣ x ∣ = 2

∣ m - 9 ∣ = 1

∣ x + 6 ∣ = \frac{- 7}{2}

What is the answer to 5|x-4|+9=20 ?
The answer to 5|x-4|+9=20 is x= 9/5 \lor x= 31/5
Solve for x: 5|x-4|+9=20
The solution is x= 9/5 \lor x= 31/5