# Stuck on this question! Can someone please help? 2 + 7x + 3 − 5x − 1 = "______"? Thanks!

May 4, 2018

$4 + 2 x$ is the final expression. Here's why:

#### Explanation:

2 + 7x + 3 - 5x -1 = ?

Start by combining like terms in the order that they appear. Let's break them into variables and integers.

Integers first:

$2$ + $3$ - $1$ = $4$

Then, variables:

$7 x$ - $5 x$ = $2 x$

Now, add what you've combined:

$4 + 2 x$

May 4, 2018

Assuming that you just want this simplified since there is nothing on the right of the $=$ sign, the answer is:

$2 x + 4$

#### Explanation:

The easiest way to simplify this problem is to combine like terms. First we'll combine all the $x$ terms:

2 + color(red)(7x) + 3 color(white)"x"color(red)( - 5x) - 1 = ?

$2 + \textcolor{red}{2 x} + 3 - 1$

Now combine all of the real numbers:

$\textcolor{b l u e}{2} + 2 x + \textcolor{b l u e}{3} \textcolor{w h i t e}{x} \textcolor{b l u e}{- 1}$

$2 x + \textcolor{b l u e}{4}$

The simplest form of this problem is $2 x + 4$.