What is the answer to -20=-3|6w-9|-5 ?

The answer to -20=-3|6w-9|-5 is w= 2/3 \lor w= 7/3

Solve for w: -20=-3|6w-9|-5

The solution is w= 2/3 \lor w= 7/3

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- 20 = - 3 ∣ 6 w - 9 ∣ - 5

w = \frac{2}{3} or w = \frac{7}{3}

Decimal

w = 0.66666 \dots, w = 2.33333 \dots

Solution steps

- 20 = - 3 ∣ 6 w - 9 ∣ - 5

Switch sides

- 3 ∣ 6 w - 9 ∣ - 5 = - 20

Move

5

to the right side

- 3 ∣ 6 w - 9 ∣ = - 15

Divide both sides by

- 3

∣ 6 w - 9 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 w - 9 = - 5 or 6 w - 9 = 5

6 w - 9 = - 5 or 6 w - 9 = 5

w = \frac{2}{3} or w = \frac{7}{3}

2 ∣ - 5 - 4 n ∣ + 6 = - 8

∣ 3 h ∣ = 3

∣ r - 5 ∣ = - 2

∣ 7 x - 5 ∣ = 20

7 = ∣ 5 g ∣ + 7

What is the answer to -20=-3|6w-9|-5 ?
The answer to -20=-3|6w-9|-5 is w= 2/3 \lor w= 7/3
Solve for w: -20=-3|6w-9|-5
The solution is w= 2/3 \lor w= 7/3