Question
\( - 10 x - 3 - ( \square ) = 8 x + 2 - ( \square \)
Ask by Summers Bird. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = -\frac{5}{18} \)
Solution
It looks like you're working with the following equation:
\[
-10x - 3 - (\square) = 8x + 2 - (\square)
\]
Assuming that the \(\square\) represents the **same expression** on both sides of the equation, it will cancel out when you simplify the equation. Here's how you can solve for \(x\):
1. **Cancel the \(\square\):**
\[
-10x - 3 = 8x + 2
\]
2. **Combine like terms:**
Bring all terms involving \(x\) to one side and constant terms to the other side.
\[
-10x - 8x = 2 + 3
\]
\[
-18x = 5
\]
3. **Solve for \(x\):**
\[
x = \frac{5}{-18} = -\frac{5}{18}
\]
**Final Answer:**
\[
x = -\frac{5}{18}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
Let’s first simplify things a bit! If we rearrange the equation, we have: \( -10x - 3 - \square = 8x + 2 - \square \). From this, we can gather terms on each side to make it easier to solve for \( \square \). Now, here's a fun tip: When dealing with equations, think of each side like a balance scale; you want to keep it balanced! This could mean directly substituting values for \( \square \) that make both sides equal or isolating \( \square \) on one side to simplify the equation. If you're looking for common mistakes, people often forget to invert signs when moving terms. Just imagine a game of tug-of-war with those negative signs!
