What is the answer to |3-4x|=8 ?

The answer to |3-4x|=8 is x=-5/4 \lor x= 11/4

Solve for x: |3-4x|=8

The solution is x=-5/4 \lor x= 11/4

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∣ 3 - 4 x ∣ = 8

x = - \frac{5}{4} or x = \frac{11}{4}

Solution steps

∣ 3 - 4 x ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 - 4 x = - 8 or 3 - 4 x = 8

3 - 4 x = - 8 or 3 - 4 x = 8

x = - \frac{5}{4} or x = \frac{11}{4}

∣ 3 - 4 x ∣ = 6

∣ 4 - 3 x ∣ = 4 x + 6

7 ∣ v ∣ = 18

∣ x + 6 ∣ - 1 = 1

2 + ∣ 6 n + 10 ∣ = 16