How do you solve #(x+7)/7=15/5#?

Question

2034 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-21T20:12:10

See the entire solution process below;

First, simplify the right side of the equation:

#(x + 7)/7 = 15/5#

#(x + 7)/7 = 3#

Next, Multiply each side of the equation by #color(red)(7)# to eliminate the fraction while keeping the equation balanced:

#color(red)(7) xx (x + 7)/7 = color(red)(7) xx 3#

#cancel(color(red)(7)) xx (x + 7)/color(red)(cancel(color(black)(7))) = 21#

#x + 7 = 21#

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) = 21 - color(red)(7)#

#x + 0 = 14#

#x = 14#