What is the answer to |-4x-5|=7 ?

The answer to |-4x-5|=7 is x=-3\lor x= 1/2

Solve for x: |-4x-5|=7

The solution is x=-3\lor x= 1/2

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∣ - 4 x - 5 ∣ = 7

x = - 3 or x = \frac{1}{2}

Decimal Notation

x = - 3, x = 0.5

Solution steps

∣ - 4 x - 5 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 4 x - 5 = - 7 or - 4 x - 5 = 7

- 4 x - 5 = - 7 or - 4 x - 5 = 7

x = - 3 or x = \frac{1}{2}

∣ - 8 y - 4 ∣ = 6

∣ - 8 y - 4 ∣ = 7

∣ x ∣ + 9 = - 15

∣ 6 x ∣ + 3 = 21

∣ 2 g - 9 ∣ = 43