Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

PGCPS Math 8 - Summer 2024

### Checking Your Understanding

Follow the steps to solve this equation:
[tex]\[ -2x + 6x - 8 = 12 \][/tex]

Step 1: Combine like terms.

[tex]\[
\begin{aligned}
4x - 8 &= 12 \\
4x - 8 + 8 &= 12 + 8 \\
4x &= 20 \\
\frac{4x}{4} &= \frac{20}{4} \\
x &= 5
\end{aligned}
\][/tex]

Step 2: Undo the multiplication.

(Note: There was an error in the original solution; the corrected value of [tex]\( x \)[/tex] is 5.)

Sagot :

GinnyAnswer
Let's carefully solve the equation [tex]\( -2x + 6x - 8 = 12 \)[/tex] step-by-step.

### Step 1: Combine like terms
First, combine the terms that contain [tex]\( x \)[/tex]:

[tex]\[ -2x + 6x - 8 = 12 \][/tex]

Combine [tex]\( -2x \)[/tex] and [tex]\( 6x \)[/tex]:

[tex]\[ (6x - 2x) - 8 = 12 \][/tex]

This simplifies to:

[tex]\[ 4x - 8 = 12 \][/tex]

### Step 2: Isolate the term with [tex]\( x \)[/tex]
To isolate the term with [tex]\( x \)[/tex], add 8 to both sides of the equation:

[tex]\[ 4x - 8 + 8 = 12 + 8 \][/tex]

This simplifies to:

[tex]\[ 4x = 20 \][/tex]

### Step 3: Solve for [tex]\( x \)[/tex]
To solve for [tex]\( x \)[/tex], divide both sides of the equation by 4:

[tex]\[ \frac{4x}{4} = \frac{20}{4} \][/tex]

This simplifies to:

[tex]\[ x = 5 \][/tex]

So, the solution to the equation [tex]\( -2x + 6x - 8 = 12 \)[/tex] is [tex]\( x = 5 \)[/tex].
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.