Questions: Simplify the expression: 12x + 7 - 9x - 2

Transcript text: POSSIBLE POINTS: 10 Simplify the expression: $12 x+7-9 x-2$

Solution

Solution Steps

To simplify the expression $12x + 7 - 9x - 2$, we need to combine like terms. This involves combining the terms with $x$ and the constant terms separately.

Step 1: Combine Like Terms

We start with the expression $12x + 7 - 9x - 2$. To simplify, we first combine the terms with $x$ and the constant terms separately.

Step 2: Simplify the $x$ Terms

The $x$ terms are $12x$ and $-9x$. Combining these gives: \[ 12x - 9x = 3x \]

Step 3: Simplify the Constant Terms

The constant terms are $7$ and $-2$. Combining these gives: \[ 7 - 2 = 5 \]

Step 4: Write the Simplified Expression

Putting it all together, we have: \[ 3x + 5 \]

Final Answer

$\boxed{3x + 5}$

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