1/2x + 4 = 3/4x-3/2

Question

 answer 20, 1.375 1.5 22

Answer 1

Let's solve for x two ways:

1)  isolate x-terms first, then add/subtract, then find x

      (1/2)x + 4 = (3/4)x - 3/2

       (1/2)x- (3/4)x = -3/2 - 4             [subtract (3/4)x from both sides; subtract 4 from both sides]

        (2/4)x - (3/4)x = -3/2 - 8/2         [find common denominator of each side]

          -(1/4)x = -11/2                          [collect terms]

             x = 22                           [multiply both sides by -4]

 

2) get rid of fractions first, then isolate terms, then find x

      (1/2)x + 4 = (3/4)x - 3/2

        2x + 16 = 3x -6

         -x = -22

          x=22