What is the answer to |4-2x|=3 ?

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

Solve for x: |4-2x|=3

The solution is x= 1/2 \lor x= 7/2

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∣ 4 - 2 x ∣ = 3

x = \frac{1}{2} or x = \frac{7}{2}

Decimal Notation

x = 0.5, x = 3.5

Solution steps

∣ 4 - 2 x ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 - 2 x = - 3 or 4 - 2 x = 3

4 - 2 x = - 3 or 4 - 2 x = 3

x = \frac{1}{2} or x = \frac{7}{2}

y, 2 x + ∣ y ∣ = 0

∣ - 6 + 2 c ∣ = 77

2 ∣ x - 3 ∣ + 16 = 10

x^{3} - 14 = 13

- n (x) = - 8 ∣ x ∣ + x + 4