Question

2(k–5)+2k=5k+5

A) k=0k=0
B) k=4k=4
C) k=1k=1
D) k=2k=2

Answer 1

The solution to the equation 2(k–5)+2k=5k+5 is k = -15. This value of k was obtained by distributing, combining like terms, and isolating k. However, this solution is not listed among the options provided, suggesting there may be a typo in the original question.

Step-by-step explanation:

The student is asking to solve the equation 2(k–5)+2k=5k+5. To find the value of k, we need to simplify and solve for k. Here's the step-by-step solution:

1. Distribute the 2 into the parentheses: 2k - 10 + 2k = 5k + 5.
2. Combine like terms on the left side: 4k - 10 = 5k + 5.
3. Get all the k terms on one side by subtracting 4k from both sides: -10 = k + 5.
4. Finally, subtract 5 from both sides to solve for k: k = -15.

It looks like there may have been a typo in the options provided since k = -15 is not listed. Be sure to double-check the original equation for any errors.