How do you solve #-6.7x - 2.4= 31.1#?

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Answer 1 · 2017-05-16T21:38:58

See a solution process below:

First, add #color(red)(2.4)# to each side of the equation to isolate the #x# term while keeping the equation balanced:

#-6.7x - 2.4 + color(red)(2.4) = 31.1 + color(red)(2.4)#

#-6.7x - 0 = 33.5#

#-6.7x = 33.5#

Now, divide each side of the equation by #color(red)(-6.7)# to solve for #x# while keeping the equation balanced:

#(-6.7x)/color(red)(-6.7) = 33.5/color(red)(-6.7)#

#(color(red)(cancel(color(black)(-6.7)))x)/cancel(color(red)(-6.7)) = -5#

#x = -5#