How do you solve #3.5x-1=-1/2(-7x+2)#?

1 Answer
Jul 17, 2015

There are an infinite number of solutions.

Explanation:

Convert #3.5# into an improper fraction.

#3.5=3 1/2=7/2#

Rewrite the equation.

#7/2x-1=-1/2(-7x+2)#

Apply the distributive property on the right side.

#7/2x-1=((-1/2*-7x)+(-1/2*2))# =

#7/2x-1=7/2x-1#

Because both sides are equal, there are an infinite number of solutions.