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

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

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

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

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- 2 ∣ 5 x - 7 ∣ + 9 = - 7

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

Decimal Notation

x = - 0.2, x = 3

Solution steps

- 2 ∣ 5 x - 7 ∣ + 9 = - 7

Move

9

to the right side

- 2 ∣ 5 x - 7 ∣ = - 16

Divide both sides by

- 2

∣ 5 x - 7 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 7 = - 8 or 5 x - 7 = 8

5 x - 7 = - 8 or 5 x - 7 = 8

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

∣ 4 x + 2 ∣ = 5 x - 1

3 - 2 ∣ 4 x - 1 ∣ = 9

4 ∣ 4 + 10 b ∣ = 24

4 - 2 ∣ 3 - 2 x ∣ = - 2

- 2 ∣ x ∣ = 14

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