What is the answer to |5c-1|-5=4 ?

The answer to |5c-1|-5=4 is c=-8/5 \lor c=2

Solve for c: |5c-1|-5=4

The solution is c=-8/5 \lor c=2

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∣ 5 c - 1 ∣ - 5 = 4

c = - \frac{8}{5} or c = 2

Solution steps

∣ 5 c - 1 ∣ - 5 = 4

Move

5

to the right side

∣ 5 c - 1 ∣ = 9

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 c - 1 = - 9 or 5 c - 1 = 9

5 c - 1 = - 9 or 5 c - 1 = 9

c = - \frac{8}{5} or c = 2

∣ 2 x - 1 ∣ = 4 x

5 ∣ x - 6 ∣ = 20

∣ 3 x + 9 ∣ - 7 = x

3 ∣ x - 1 ∣ - 2 = 13

∣ 2 - 2 x ∣ + 1 = 7