What is the answer to |4x-2|=8 ?

The answer to |4x-2|=8 is x=-3/2 \lor x= 5/2

Solve for x: |4x-2|=8

The solution is x=-3/2 \lor x= 5/2

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∣ 4 x - 2 ∣ = 8

x = - \frac{3}{2} or x = \frac{5}{2}

Solution steps

∣ 4 x - 2 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 2 = - 8 or 4 x - 2 = 8

4 x - 2 = - 8 or 4 x - 2 = 8

x = - \frac{3}{2} or x = \frac{5}{2}

∣ 4 x - 21 ∣ - 7 = 13

∣ 2 x + 1 ∣ = 3 x + 4

x^{2} - 3 x - 1 = 3

∣ x + 1 ∣ = 3 x - 9

∣ x + 5 ∣ + 7 = 6