How do you solve #187=19+7(13-x)#?

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Answer 1 · 2017-03-16T01:35:18

See the entire solution process below:

First, expand the terms in parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

#187 = 19 + color(red)(7)(13 - x)#

#187 = 19 + (color(red)(7) xx 13) - (color(red)(7) xx x)#

#187 = 19 + 91 - 7x#

#187 = 110 - 7x#

Next, subtract #color(red)(110)# from each side of the equation to isolate the #x# term while keeping the equation balanced:

#-color(red)(110) + 187 = -color(red)(110) + 110 - 7x#

#77 = 0 - 7x#

#77 = -7x#

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

#77/color(red)(-7) = (-7x)/color(red)(-7)#

#-11 = (color(red)(cancel(color(black)(-7)))x)/cancel(color(red)(-7))#

#-11 = x#

#x = -11#