What is the answer to |5-4x|=9 ?

The answer to |5-4x|=9 is x=-1\lor x= 7/2

Solve for x: |5-4x|=9

The solution is x=-1\lor x= 7/2

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∣ 5 - 4 x ∣ = 9

x = - 1 or x = \frac{7}{2}

Decimal Notation

x = - 1, x = 3.5

Solution steps

∣ 5 - 4 x ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - 4 x = - 9 or 5 - 4 x = 9

5 - 4 x = - 9 or 5 - 4 x = 9

x = - 1 or x = \frac{7}{2}

∣ 5 - 4 x ∣ = 2

∣ - 3 r ∣ = 12

∣ x - 4 ∣ - 3 = - 12

3 ∣ x ∣ = 4 - x^{2}

∣ h - 5 ∣ - 3 = 7