What is the answer to |3-4x|=6 ?

The answer to |3-4x|=6 is x=-3/4 \lor x= 9/4

Solve for x: |3-4x|=6

The solution is x=-3/4 \lor x= 9/4

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∣ 3 - 4 x ∣ = 6

x = - \frac{3}{4} or x = \frac{9}{4}

Solution steps

∣ 3 - 4 x ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 - 4 x = - 6 or 3 - 4 x = 6

3 - 4 x = - 6 or 3 - 4 x = 6

x = - \frac{3}{4} or x = \frac{9}{4}

∣ 4 - 3 x ∣ = 4 x + 6

7 ∣ v ∣ = 18

∣ x + 6 ∣ - 1 = 1

2 + ∣ 6 n + 10 ∣ = 16

∣ - 7 y + 29 ∣ = 20