How do you solve #-2=(-3+v)/2#?

1 Answer
Mar 27, 2018

#v=-1#

Explanation:

We start with the equation:
#-2=(-3+v)/2#

Step 1.) Find the greatest common denominator (LCD) on both sides:
To do this find the LCM of every denominator in the equation. In this equation, the denominators are 2 and 1, therefore, the LCD is 2.

Step 2.) Multiply every term in the equation by the LCD.

-2(2)=#(2/1)##((-3+v)/2)#

Step 3.) Simplify:
#-4=-3+v#

Step 4.) Get #v# by itself by solving #f(v)# like a linear equation. Add #3# to both sides to cancel out #-3#.
#-4+3=v#

#v=-1#