How do you solve #7n+8=6n+4#?

1 Answer
Jim G.
Jun 4, 2018

#n=-4#

Explanation:

#"collect terms in n on the left side of the equation and"#
#"numeric values on the right side"#

#"subtract "6n" from both sides"#

#7n-6n+8=cancel(6n)cancel(-6n)+4#

#n+8=4#

#"subtract 8 from both sides"#

#ncancel(+8)cancel(-8)=4-8#

#n=-4#

#color(blue)"As a check"#

Substitute this value into the equation and if both sides are equal then it is the solution.

#"left "=(7xx-4)+8=-28+8=-20#

#"right "=(6xx-4)+4=-24+4=-20#

#n=-4" is the solution"#

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