How do you solve #\frac { x + 2} { 5} = 20#?

1 Answer
Jun 17, 2017

See a solution process below:

Explanation:

First, multiply each side of the equation by #color(red)(5)# to eliminate the fraction while keeping the equation balanced:

#color(red)(5) xx (x + 2)/5 = color(red)(5) xx 20#

#cancel(color(red)(5)) xx (x + 2)/color(red)(cancel(color(black)(5))) = 100#

#x + 2 = 100#

Now, subtract #color(red)(2)# from each side of the equation to solve for #x# while keeping the equation balanced:

#x + 2 - color(red)(2) = 100 - color(red)(2)#

#x + 0 = 98#

#x = 98#