Solve the equation. What is the value of c?

Question

Solve for c. You can choose to show your work below or solve on paper, then enter your answer on Zearn.
10c−12
=
−10c−8

c
=

Answer 1

To solve the equation \( 10c - 12 = -10c - 8 \), we can follow these steps:

1. Start by adding \(10c\) to both sides of the equation to eliminate the \( -10c \) on the right side:

   \[ 10c + 10c - 12 = -10c + 10c - 8 \]

   This simplifies to:

   \[ 20c - 12 = -8 \]

2. Next, add \(12\) to both sides to isolate the term with \(c\):

   \[ 20c - 12 + 12 = -8 + 12 \]

   This simplifies to:

   \[ 20c = 4 \]

3. Finally, divide both sides by \(20\) to solve for \(c\):

   \[ c = \frac{4}{20} = \frac{1}{5} \]

Therefore, the value of \(c\) is \(\frac{1}{5}\).