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

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

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

The solution is x=-9/5 \lor x=-1

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∣ - 5 x - 7 ∣ = 2

x = - \frac{9}{5} or x = - 1

Decimal

x = - 1.8, x = - 1

Solution steps

∣ - 5 x - 7 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 5 x - 7 = - 2 or - 5 x - 7 = 2

- 5 x - 7 = - 2 or - 5 x - 7 = 2

x = - \frac{9}{5} or x = - 1

7 = ∣ a ∣

∣ 3.2 x - 4 ∣ = - 5.7

3 - ∣ 5 x - 1 ∣ = - 2 x + 3

∣ 7 x + 2 ∣ + 35 = 30

∣ 3 - 4 x ∣ = 15