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

The answer to |4-5x|=9 is x=-1\lor x= 13/5

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

The solution is x=-1\lor x= 13/5

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∣ 4 - 5 x ∣ = 9

x = - 1 or x = \frac{13}{5}

Decimal Notation

x = - 1, x = 2.6

Solution steps

∣ 4 - 5 x ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 1 or x = \frac{13}{5}

9 = ∣ 3 k ∣

3 ∣ x - 1 ∣ - 1 = - 11

x, ∣ 3 - 2 x ∣ = 7

2 x^{2} - 9 x - 5 = 0

∣ v ∣ + 13 = 21