What is the answer to |-4x+5|=37 ?

The answer to |-4x+5|=37 is x=-8\lor x= 21/2

Solve for x: |-4x+5|=37

The solution is x=-8\lor x= 21/2

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∣ - 4 x + 5 ∣ = 37

x = - 8 or x = \frac{21}{2}

Decimal Notation

x = - 8, x = 10.5

Solution steps

∣ - 4 x + 5 ∣ = 37

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 4 x + 5 = - 37 or - 4 x + 5 = 37

- 4 x + 5 = - 37 or - 4 x + 5 = 37

x = - 8 or x = \frac{21}{2}

∣ 2 a + 7 ∣ = a - 4

∣ 6 - 3 x ∣ = 9

∣ x - 1 ∣ - 3 = 0

∣ c x + d ∣ = ab

9 + 10 ∣ 5 n - 7 ∣ = 89