What is the answer to |5c-6|=31 ?

The answer to |5c-6|=31 is c=-5\lor c= 37/5

Solve for c: |5c-6|=31

The solution is c=-5\lor c= 37/5

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∣ 5 c - 6 ∣ = 31

c = - 5 or c = \frac{37}{5}

Decimal Notation

c = - 5, c = 7.4

Solution steps

∣ 5 c - 6 ∣ = 31

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 c - 6 = - 31 or 5 c - 6 = 31

5 c - 6 = - 31 or 5 c - 6 = 31

c = - 5 or c = \frac{37}{5}

∣ 5 x - 6 ∣ - 6 = x

∣ 5 x ∣ = 15

x^{2} - 2 x = 0

42 = ∣ 14 - 4 x ∣

∣ 3 x - 7 ∣ = 12