6x=42-4(30/9) what is the answer to this?

2 Answers
Feb 27, 2018

Answer:

#x = 43 / 9#

Explanation:

#6x = 42 - 4/1 * 30/9#

#6x = 42 - 13.333...#

#6x = 28.666...#

#x = (28.666... )/ 6#

#x = 4.777...#

Feb 27, 2018

Answer:

#x=43/9#

Explanation:

We can start by distributing the #-4# to the terms in the parenthesis. With this, we get:

#6x=42-(120/9)#

We can multiply #42# by #9# to get a common denominator. The new fraction will be #378/9#.

NOTE: If you don't believe me, try it out. You will see that #378/9# is indeed #42#. Our new equation is:

#6x=378/9-120/9#

We can subtract the numerators to simplify. We get:

#6x=258/9#

We can divide by #6# or multiply by #1/6# on both sides to get:

#x=258/54#

This can be further simplified by dividing the numerator and denominator by #6#. We get:

#x=43/9#