What is the answer to -19+9|4x-5|=18 ?

The answer to -19+9|4x-5|=18 is x= 2/9 \lor x= 41/18

Solve for x: -19+9|4x-5|=18

The solution is x= 2/9 \lor x= 41/18

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- 19 + 9 ∣ 4 x - 5 ∣ = 18

x = \frac{2}{9} or x = \frac{41}{18}

Decimal

x = 0.22222 \dots, x = 2.27777 \dots

Solution steps

- 19 + 9 ∣ 4 x - 5 ∣ = 18

Move

19

to the right side

9 ∣ 4 x - 5 ∣ = 37

Divide both sides by

9

∣ 4 x - 5 ∣ = \frac{37}{9}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 5 = - \frac{37}{9} or 4 x - 5 = \frac{37}{9}

4 x - 5 = - \frac{37}{9} or 4 x - 5 = \frac{37}{9}

x = \frac{2}{9} or x = \frac{41}{18}

∣ 5 x - 2 ∣ = x

2 ∣ x - 3 ∣ + x + 9 = 0

∣ x - 4 ∣ = 12 x + 3

y, x = - ∣ y ∣ - 2

∣ x + 5 ∣ + ∣ y - 3 ∣ = 5

What is the answer to -19+9|4x-5|=18 ?
The answer to -19+9|4x-5|=18 is x= 2/9 \lor x= 41/18
Solve for x: -19+9|4x-5|=18
The solution is x= 2/9 \lor x= 41/18