How do you simplify #x + 9x + 3#?

2 Answers
Oct 28, 2015

#=10x+3#

Explanation:

Note that

#x+9x+3= (1+9)x+3#
#=10x+3#

Oct 28, 2015

#10x+3#
It is important that you look at the explanation!

Explanation:

The expression has two groups of numbers. They are: one constant and a set of counts of #x#

We can not mix the constant with the count of x as they are different; in that we do not know the value of #x#. However, we do know the value of 3. So the constant stays as it is and on its own.

Looking at the#" "x# parts:

Adding means 'put with the count'. The opposite of this is subtract; which means 'remove from the count'.

We have one of #x# put with another nine of #x# giving us a total of 10 of #x# written as #10x#.

Putting everything together gives:

#10x+3#