Math  /  Algebra

Questionx(10x)-x-(-10 x)

Studdy Solution

STEP 1

What is this asking? Simplify the expression by combining the xx terms. Watch out! Be careful with the double negative!
It's easy to make a mistake with the signs.

STEP 2

1. Rewrite the double negative
2. Combine like terms

STEP 3

Alright, let's **rewrite** this expression!
We've got x(10x)-x - (-10x).
Remember, subtracting a negative number is the same as adding a positive number.
Think of it like this: if you remove debt, you're essentially gaining money!

STEP 4

So, (10x)-(-10x) becomes +10x+10x.
Our expression now looks like this: x+10x-x + 10x.
Much better!

STEP 5

Now, we're ready to **combine** our like terms.
We have 1x-1x and +10x+10x.
Think of it like this: you *owe* someone one xx, but you *have* ten xxs.
What's the net result?

STEP 6

1x+10x=(1+10)x=9x-1x + 10x = (-1 + 10) \cdot x = 9x We've got a positive **nine** xxs!

STEP 7

Our simplified expression is 9x9x!

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