# How do you solve #2( 2x + 5) - 7x - 21= 5( - 3+ x ) - 8x + 4#?

##### 3 Answers

**All real numbers or #(-oo, oo)# or infinitely many solutions**

#### Explanation:

Expand and collect like terms:

Since both sides of the equation are the same, that means that there are infinitely many solutions, or all real numbers, or

There are infinitely many solutions for

#### Explanation:

- Distribute

#4x+10-7x-21=-15+5x-8x+4#

PAY ATTENTION TO NEGATIVE SIGNS - Combine like terms on both sides of the equation

#-3x-11=-3x-11# - Since we now have both sides of the equation looking exactly the same we know that
#x=x# and therefore know that#x# can equal anything.

**All real numbers or #(-oo, oo)#**

Here's how I did it:

#### Explanation:

The first thing we want to do is distribute or multiply the value outside of the parenthesis to everything inside it. Let's take a look at

When we combine this together we get

Now let's look at

When we combine this together we get

Now let's put these back into the equation:

Now we simplify by combining like terms:

Add

Divide both sides by

Since we know that **all real numbers**, or

Hope this helps!