Final answer:
To solve the equation 2c - 3 = 2(6 - c) + 7c, distribute the 2 to both terms inside the parentheses. Combine like terms and rearrange the equation. Simplify and divide to solve for c.
Step-by-step explanation:
To solve the equation 2c - 3 = 2(6 - c) + 7c, we first distribute the 2 to both terms inside the parentheses:
2c - 3 = 12 - 2c + 7c
Combining like terms:
2c - 3 = 12 + 5c
Rearranging the equation:
2c - 5c = 12 + 3
Simplifying:
-3c = 15
Dividing by -3:
c = -5