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Combine like terms to simplify the equation below.

[tex]\[ 9x - 2 - 3x + 12 = \, ? \][/tex]

[tex]\[\square\][/tex]

Sagot :

GinnyAnsweridn
Sure, let's simplify the given equation step-by-step.

The equation you provided is:
[tex]\[ 9x - 2 - 3x + 12 \][/tex]

### Step 1: Identify and combine like terms

First, we need to combine the terms that contain the variable [tex]\( x \)[/tex]. These terms are:
[tex]\[ 9x \text{ and } -3x \][/tex]

When we combine these like terms:
[tex]\[ 9x - 3x = 6x \][/tex]

### Step 2: Combine the constant terms

Next, we combine the constant terms, which are the numbers that do not contain the variable [tex]\( x \)[/tex]. These constants are:
[tex]\[ -2 \text{ and } 12 \][/tex]

When we combine these constants:
[tex]\[ -2 + 12 = 10 \][/tex]

### Step 3: Write the simplified equation

Now, we substitute the simplified terms back into the equation:
[tex]\[ 9x - 3x - 2 + 12 \][/tex]

This simplifies to:
[tex]\[ 6x + 10 \][/tex]

So, the simplified equation is:
[tex]\[ 9x - 2 - 3x + 12 = 6x + 10 \][/tex]

Therefore, the result is:
[tex]\[ 6x + 10 \][/tex]
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