What is the answer to |5-4x|=8 ?

The answer to |5-4x|=8 is x=-3/4 \lor x= 13/4

Solve for x: |5-4x|=8

The solution is x=-3/4 \lor x= 13/4

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∣ 5 - 4 x ∣ = 8

x = - \frac{3}{4} or x = \frac{13}{4}

Decimal Notation

x = - 0.75, x = 3.25

Solution steps

∣ 5 - 4 x ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - 4 x = - 8 or 5 - 4 x = 8

5 - 4 x = - 8 or 5 - 4 x = 8

x = - \frac{3}{4} or x = \frac{13}{4}

∣ 5 - 4 x ∣ = 9

∣ 5 - 4 x ∣ = 2

∣ - 3 r ∣ = 12

∣ x - 4 ∣ - 3 = - 12

3 ∣ x ∣ = 4 - x^{2}