How do you solve and check : #0.6 - 0.3(20+x) = 0.75(20)#?

1 Answer
May 9, 2018

#x = -68#

Explanation:

#0.6 - 0.3(20 + x) = 0.75(20)#

Use the Distributive Property:
#0.6 - 0.3(20 + x) = 0.75(20)#
#0.6 - 6 - 0.3x = 15#

Combine Like Terms:
#0.6 - 6 - 0.3x = 15#
#-5.4 - 0.3x = 15#

Use the Additive Inverse:
#-5.4 - 0.3x = 15#
#-0.3x = 20.4#

Use the Multiplicative Inverse:
#-0.3x = 20.4#
#x = -68#

Check:
#0.6 - 0.3(20 + x) = 0.75(20)#
#0.6 - 0.3(20 + (-68)) = 0.75(20)#
#0.6 - 0.3(-48) = 15#
#0.6 + 14.4 = 15#
#15 = 15#