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

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Answer 1 · 2017-03-04T01:55:34

See the entire solution process below:

First, add #color(red)(5)# and subtract #color(blue)(5n)# from each side of the equation to isolate the #n# term while keeping the equation balanced:

#7n - 5 + color(red)(5) - color(blue)(5n) = 5n + 7 + color(red)(5) - color(blue)(5n)#

#7n - color(blue)(5n) - 5 + color(red)(5) = 5n - color(blue)(5n) + 7 + color(red)(5)#

#(7 - color(blue)(5))n - 0 = 0 + 12#

#2n = 12#

Now, divide each side of the equation by #color(red)(2)# to solve for #n# while keeping the equation balanced:

#(2n)/color(red)(2) = 12/color(red)(2)#

#(color(red)(cancel(color(black)(2)))n)/cancel(color(red)(2)) = 6#

#n = 6#