Question

1. 5c - 9 = 8 - 2c

Explanation:

Step1: Add \(2c\) to both sides

To isolate the variable terms on one side, we add \(2c\) to both sides of the equation \(5c - 9 = 8 - 2c\). This gives us \(5c + 2c - 9 = 8 - 2c + 2c\), which simplifies to \(7c - 9 = 8\).

Step2: Add 9 to both sides

Next, we add 9 to both sides to isolate the term with the variable. So, \(7c - 9 + 9 = 8 + 9\), which simplifies to \(7c = 17\).

Step3: Divide by 7

Finally, we divide both sides by 7 to solve for \(c\). So, \(c=\frac{17}{7}\).

Answer:

\(c = \frac{17}{7}\)