Question

Is the following always, sometimes, or never true?
6+8x-9=11x+14-3x

Answer 1

Add like terms on each side.
Can you do that?

Answer 2

No. Im not good with these type of problems.

Answer 3

Like terms are terms that have the same variable part.

On the left side, there are three terms, 6, 8x, and -9.
6 and -9 have the same variable part (no variable at all). That means 6 and -9 can be added together. What is 6 - 9 = ?

Answer 4

-3

Answer 5

Great.
The 6 and -9 of the left side are combined into -3.
On the left side we now have
8x - 3

Now let's deal with the right side.

Answer 6

On the right side there are also three terms, 11x, 14, -3x
In this case, 11x and -3x are like terms because they have the same variable part (each one has x in it). 11x and -3x can be combined together. What is 11x - 3x = ?

Answer 7

8x

Answer 8

Good.
The right side, then is 8x + 14.

Let's put together the two sides in our equation:

8x - 3 = 8x + 14

Now we subtract 8x from both sides:

We get

-3 = 14

Since this is a false statement, that means the equation is never true.
In other words, there is no value of x that will male the statement true.