How do you solve #-8x - 9+ 6x = - 9x + 3#?

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Answer 1 · 2018-05-28T20:57:03

#x = 12/7#

#-8x - 9 + 6x = -9x + 3#

First, simplify #-8x + 6x#:
#-2x - 9 = -9x + 3#

Add #color(blue)9# to both sides of the equation:
#-2x - 9 quadcolor(blue)(+quad9) = -9x + 3 quadcolor(blue)(+quad9)#

#-2x = -9x + 12#

Now add #color(blue)(9x)# to both sides of the equation:
#-2x quadcolor(blue)(+quad9x) = -9x + 12 quadcolor(blue)(+quad9x)#

#7x = 12#

Now divide both sides by #color(blue)7#:
#(7x)/color(blue)7 = 12/color(blue)7#

#x = 12/7#

Hope this helps!