What is the answer to -2|5w-7|+9=-7 ?

The answer to -2|5w-7|+9=-7 is w=-1/5 \lor w=3

Solve for w: -2|5w-7|+9=-7

The solution is w=-1/5 \lor w=3

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- 2 ∣ 5 w - 7 ∣ + 9 = - 7

w = - \frac{1}{5} or w = 3

Decimal Notation

w = - 0.2, w = 3

Solution steps

- 2 ∣ 5 w - 7 ∣ + 9 = - 7

Move

9

to the right side

- 2 ∣ 5 w - 7 ∣ = - 16

Divide both sides by

- 2

∣ 5 w - 7 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 w - 7 = - 8 or 5 w - 7 = 8

5 w - 7 = - 8 or 5 w - 7 = 8

w = - \frac{1}{5} or w = 3

x, ∣ x ∣ = - y

8 x = 2 ∣ 6 x - 2 ∣

∣ 4 - 9 x ∣ + 4 = 27

∣ 8 + p ∣ = 2 p - 3

∣ 3 x + 5 ∣ = 5 x + 2

What is the answer to -2|5w-7|+9=-7 ?
The answer to -2|5w-7|+9=-7 is w=-1/5 \lor w=3
Solve for w: -2|5w-7|+9=-7
The solution is w=-1/5 \lor w=3