How do you solve #3/7x+5=9#?

1 Answer
Feb 17, 2017

See the entire solution process below:

Explanation:

Step 1) Subtract #color(red)(5)# from each side of the equation to isolate the #x# term while keeping the equation balanced:
#3/7x + 5 - color(red)(5) = 9 - color(red)(5)#

#3/7x - 0 = 4#

#3/7x = 4#

Step 2) multiply each side of the equation by #color(red)(7)/color(blue)(3)# to solve for #x# while keeping the equation balanced:

#color(red)(7)/color(blue)(3) xx 3/7x = color(red)(7)/color(blue)(3) xx 4#

#cancel(color(red)(7))/cancel(color(blue)(3)) xx color(blue)(cancel(color(black)(3)))/color(red)(cancel(color(black)(7)))x = 28/3#

#x = 28/3#