What is the answer to |5-2x|=4 ?

The answer to |5-2x|=4 is x= 1/2 \lor x= 9/2

Solve for x: |5-2x|=4

The solution is x= 1/2 \lor x= 9/2

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∣ 5 - 2 x ∣ = 4

x = \frac{1}{2} or x = \frac{9}{2}

Decimal Notation

x = 0.5, x = 4.5

Solution steps

∣ 5 - 2 x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - 2 x = - 4 or 5 - 2 x = 4

5 - 2 x = - 4 or 5 - 2 x = 4

x = \frac{1}{2} or x = \frac{9}{2}

x + ∣ 3 - 2 x ∣ = 4

∣ x + 3 ∣ = 7 x - 4

∣ 1 - 5 x ∣ = 6

∣ 1 - 3 x ∣ + x = - 3

- 2 ∣ x - 4 ∣ + 6 = - 8