How do you solve #\frac { x } { 3} - 11= 7#?

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Answer 1 · 2017-06-17T14:19:06

See a solution process below:

First, add #color(red)(11)# to each side of the equation to isolate the #x# term while keeping the equation balanced:

#x/3 - 11 + color(red)(11) = 7 + color(red)(11)#

#x/3 - 0 = 18#

#x/3 = 18#

Now, multiply each side of the equation by #color(red)(3)# to solve for #x# while keeping the equation balanced:

#color(red)(3) xx x/3 = color(red)(3) xx 18#

#cancel(color(red)(3)) xx x/color(red)(cancel(color(black)(3))) = 54#

#x = 54#