How do you solve #7( 2x - 3) = 4( 2- x )#?

1 Answer
Mar 13, 2018

Answer:

#x=\frac{29}{18}#

Explanation:

  1. Subtract #4(2-x)# from both sides.
    #7(2x-3)-4(2-x)=0 \iff#
  2. Perform the multiplications.
    #14x-21-(8-4x)=0 \iff#
  3. Perform the additions/subtractions.
    #18x-29=0 \iff#
  4. Add #29# to both sides and then divide by #18#.
    #x=\frac{29}{18}#