Question

6c-5=1/2(6+4c)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation 6c - 5 = 1/2(6 + 4c), we can start by distributing the 1/2 to the terms inside the parentheses.

6c - 5 = 1/2 * 6 + 1/2 * 4c

Simplifying further, we have:

6c - 5 = 3 + 2c

Next, we want to isolate the variable c on one side of the equation. We can do this by subtracting 2c from both sides:

6c - 2c - 5 = 3

Combining like terms:

4c - 5 = 3

Now, we can isolate the constant term by adding 5 to both sides:

4c - 5 + 5 = 3 + 5

=> 4c = 8

Finally, divide both sides of the equation by 4 to solve for c:

4c/4 = 8/4

=> c = 2

Therefore, the solution to the equation 6c - 5 = 1/2(6 + 4c) is c = 2.