# How do you simplify #2x - 5( x + 3) - 4- ( x - 2#)?

##### 2 Answers

#### Explanation:

Distribute the brackets then collect like terms.

#color(blue)(2x-5x)color(red)(-15-4)color(blue)(-x)color(red)(+2)#

#=color(blue)(2x-5x-x)color(red)(-15-4+2)#

#=-4x-17#

#### Explanation:

Parenthesis, Exponents, Multiply, Divide, Add, Subtract

Though there are parenthesis, there aren't any like terms within the sets of parenthesis, so you move onto the next step which is multiplication

Ok, so distribute the -5 to each term in the first set of parenthesis

Now the problem look like:

Distribute the -, which is a -1, throughout each term in the second set of parenthesis

Now the problem looks like:

To combine like terms, rearrange the problem so that all the terms with an

When you do this, don't forget to bring the sign along with the term

Now, it is easier to see what needs combined

Next in the order of operations is add. S perform any addition within the problem

All that is left is subtraction, so combine all the like terms