How do you solve #8n - 12= - 12n + 8#?

1 Answer
Jun 5, 2018

#n = 1#

Explanation:

#8n - 12 = -12n + 8#

To solve for #n#, we have to make it by itself. First, add #color(blue)(12n)# to both sides of the equation:
#8n - 12 quadcolor(blue)(+quad12n) = -12n + 8 quadcolor(blue)(+quad12n)#

#20n - 12 = 8#

Now add #color(blue)12# to both sides:
#20n - 12 quadcolor(blue)(+quad12) = 8 quadcolor(blue)(+quad12)#

#20n = 20#

Divide both sides by #color(blue)20#:
#(20n)/color(blue)20 = 20/color(blue)20#

Therefore,
#n = 1#

Hope this helps!