How do you solve #-6+ 6( x + 7) = 84#?

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Answer 1 · 2017-05-12T03:53:30

See a solution process below:

First, add #color(red)(6)# to each side of the equation to isolate the term with the parenthesis while keeping the equation balanced:

#color(red)(6) - 6 + 6(x + 7) = color(red)(6) + 84#

#0 + 6(x + 7) = 90#

#6(x + 7) = 90#

Next, divide each side of the equation by #color(red)(6)# to eliminate the term with parenthesis while keeping the equation balanced:

#(6(x + 7))/color(red)(6) = 90/color(red)(6)#

#(color(red)(cancel(color(black)(6)))(x + 7))/cancel(color(red)(6)) = 15#

#x + 7 = 15#

Now, subtract #color(red)(7)# from each side of the equation to solve for #x# while keeping the equation balanced:

#x + 7 - color(red)(7) = 15 - color(red)(7)#

#x + 0 = 8#

#x = 8#