How do you solve #23=16-(2x-4)#?

1 Answer
Mar 25, 2018

#x = -frac{3}{2}#

Explanation:

First, distribute the negative sign to the terms inside of the parenthesis:
#23 = 16 - (2x - 4)#
#23 = 16 - 2x + 4#

Next, combine like terms:
#23 = 16 - 2x + 4#
#23 = 20 - 2x#

Then subtract #20# from both sides of the equation:
#23 = 20 - 2x#
#3 = -2x#

Finally, divide both sides of the equation by #-2#:
#3 = -2x#
#-frac{3}{2} = x#