How do you solve # (x/3) + (x/2) = (5/6)#?

Question

5498 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-13T01:27:30

#x=1#

Multiply the entire equation by #6#. This makes

#2x + 3x = 5#

#5x=5#

Then re-arrange and divide both sides by #5#

#(5x)/5 = 5/5#

#x =1#

Answer 2 · 2018-03-13T01:30:31

#x=1#

1) Find a common denominator on the left side.

#2/2(x/3) + 3/3(x/2) = 5/6#

You would get:

#(2x)/6 + (3x)/6 = 5/6#

#(2x+3x)/6 = 5/6#

2) Multiply both sides by #6#. This would give you:

#2x + 3x = 5#

3) Factor out an #x#.

#x(2+3) = 5 => 5x = 5#

4) Divide both sides by #5# to get

#x=1#