Question12. $6 x-2(x+4)-3$

Studdy Solution

STEP 1

What is this asking? Simplify this expression with $x$ in it. Watch out! Don't forget to distribute that $-2$ to both terms inside the parentheses!

STEP 2

1. Distribute
2. Combine like terms

STEP 3

Alright, let's kick things off by distributing the $-2$ to both the $x$ and the $4$ inside the parentheses.
Remember, distributing means multiplying each term inside the parentheses by the term outside.
So, we've got: $6x - 2(x+4) - 3 = 6x + (-2 \cdot x) + (-2 \cdot 4) - 3$ $= 6x - 2x - 8 - 3$ Why did we do this?
Because it gets rid of those pesky parentheses and makes the expression easier to work with!

STEP 4

Now, let's wrangle those $x$ terms together.
We have $6x$ and $-2x$ .
Combining them gives us: $6x - 2x = (6-2)x = 4x$ So far, so good!

STEP 5

Next up, let's corral those constant terms, which are the numbers without any $x$ attached.
We've got $-8$ and $-3$ .
Adding them together gives us: $-8 - 3 = -11$ Almost there!

STEP 6

Now, let's bring it all home by combining our simplified $x$ term and our simplified constant term.
This gives us our final simplified expression: $4x - 11$ Fantastic!

STEP 7

The simplified expression is $4x - 11$ .

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