How do you solve #32 8 = 8 ( 5 - 6 x )#?

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Answer 1 · 2018-03-19T19:30:41

See a solution process below:

First, divide each side of the equation by #color(red)(8)# to eliminate the parenthesis while keeping the equation balanced:

#328/color(red)(8) = (8(5 - 6x))/color(red)(8)#

#41 = (color(red)(cancel(color(black)(8)))(5 - 6x))/cancel(color(red)(8))#

#41 = 5 - 6x#

Next, subtract #color(red)(5)# from each side of the equation to isolate the #x# term while keeping the equation balanced:

#41 - color(red)(5) = 5 - color(red)(5) - 6x#

#36 = 0 - 6x#

#36 = -6x#

Now, divide each side of the equation by #color(red)(-6)# to solve for #x# while keeping the equation balanced:

#(36)/color(red)(-6) = (-6x)/color(red)(-6)#

#-6 = (color(red)(cancel(color(black)(-6)))x)/cancel(color(red)(-6))#

#-6 = x#

#x = -6#