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

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

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

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

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5 = ∣ 5 - 3 c ∣

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

Decimal Notation

c = 0, c = 3.33333 \dots

Solution steps

5 = ∣ 5 - 3 c ∣

Switch sides

∣ 5 - 3 c ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 - 3 c = - 5 or 5 - 3 c = 5

5 - 3 c = - 5 or 5 - 3 c = 5

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

∣ 5 x - 8 ∣ - 1 = 2 x

∣ 3 x + 2 ∣ = 2 x + 3

∣ 3 x - 7 ∣ = 8

7 ∣ x - 2 ∣ = 6

- ∣ 7 - x ∣ - 5 = - 12