What is the answer to 5=|5-3x| ?

The answer to 5=|5-3x| is x=0\lor x= 10/3

Solve for x: 5=|5-3x|

The solution is x=0\lor x= 10/3

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5 = ∣ 5 - 3 x ∣

x = 0 or x = \frac{10}{3}

Decimal Notation

x = 0, x = 3.33333 \dots

Solution steps

5 = ∣ 5 - 3 x ∣

Switch sides

∣ 5 - 3 x ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - 3 x = - 5 or 5 - 3 x = 5

5 - 3 x = - 5 or 5 - 3 x = 5

x = 0 or x = \frac{10}{3}

∣ 4 x - 14 ∣ - 9 = - 3

- 3 = ∣ v ∣ - 3

9 + ∣ 4 x - 5 ∣ = 0

\frac{∣ 2 w - 4 ∣}{6} = 3

∣ x - 4 ∣ = 5 x + 8