How do you solve #5+ 7k = k - 7#?

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Answer 1 · 2017-09-05T01:28:36

Answer: #k=-2#

Solve #5+7k=k-7#

First we want to isolate the variable #k# on one side of the equation by subtracting #k# and #5# from both sides:
#5+7k-k-5=k-7-k-5#

We can simplify:
#6k=-12#

Finally, we divide both sides by #6# to solve for #k#:
#(6k)/6=-12/6#

#k=-2#

Substituting into the original equation to check:
#5+7(-2)=(-2)-7#

#5-14=-9#

#-9=-9#, which is true

Therefore, our answer is #k=-2#