What is the answer to |1+6c|-7=-3 ?

The answer to |1+6c|-7=-3 is c=-5/6 \lor c= 1/2

Solve for c: |1+6c|-7=-3

The solution is c=-5/6 \lor c= 1/2

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∣ 1 + 6 c ∣ - 7 = - 3

c = - \frac{5}{6} or c = \frac{1}{2}

Decimal Notation

c = - 0.83333 \dots, c = 0.5

Solution steps

∣ 1 + 6 c ∣ - 7 = - 3

Move

7

to the right side

∣ 1 + 6 c ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

1 + 6 c = - 4 or 1 + 6 c = 4

1 + 6 c = - 4 or 1 + 6 c = 4

c = - \frac{5}{6} or c = \frac{1}{2}

∣ - 2 x ∣ = 19

- 2 ∣ x - 3 ∣ = 4

∣ 2 x - 3 ∣ = 1 - x

∣ - 2 x + 1 ∣ - 5 = - 2

x^{6} ∣ - 8 + 5 x ∣ - 4 = 38

What is the answer to |1+6c|-7=-3 ?
The answer to |1+6c|-7=-3 is c=-5/6 \lor c= 1/2
Solve for c: |1+6c|-7=-3
The solution is c=-5/6 \lor c= 1/2