What is the answer to |4x-1|=7 ?

The answer to |4x-1|=7 is x=-3/2 \lor x=2

Solve for x: |4x-1|=7

The solution is x=-3/2 \lor x=2

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∣ 4 x - 1 ∣ = 7

x = - \frac{3}{2} or x = 2

Solution steps

∣ 4 x - 1 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 1 = - 7 or 4 x - 1 = 7

4 x - 1 = - 7 or 4 x - 1 = 7

x = - \frac{3}{2} or x = 2

∣ 6 x - 3 ∣ = 15

∣ 3 x - 1 ∣ + 8 + x = x + 4

60 = ∣ 10 y ∣

∣ x - 2 ∣ - 6 = 3 x

∣ 3 x + 8 ∣ + 4 = x