Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = -7 \)
Solution
Let's solve the equation step by step.
### Given Equation:
\[
84 + (x + 59) + (x + 51) = 180
\]
### Step 1: Remove the Parentheses
\[
84 + x + 59 + x + 51 = 180
\]
### Step 2: Combine Like Terms
\[
2x + (84 + 59 + 51) = 180
\]
\[
2x + 194 = 180
\]
### Step 3: Isolate the Variable Term
Subtract 194 from both sides:
\[
2x = 180 - 194
\]
\[
2x = -14
\]
### Step 4: Solve for \( x \)
Divide both sides by 2:
\[
x = \frac{-14}{2}
\]
\[
x = -7
\]
### **Solution:**
\[
x = -7
\]
**Note:** The value of \( x \) is \(-7\). If this equation represents a real-world scenario (like angles in a geometric shape), a negative value might indicate an error in the setup or interpretation of the problem.
Reviewed and approved by the UpStudy tutoring team
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Explain 
Simplify this solution Mind Expander
To solve the equation \( 84 + (x + 59) + (x + 51) = 180 \), first, simplify the left side: Combine the like terms: \[ 84 + x + 59 + x + 51 = 180 \] This simplifies to: \[ 2x + 194 = 180 \] Now, isolate \( 2x \) by subtracting 194 from both sides: \[ 2x = 180 - 194 \] \[ 2x = -14 \] Next, divide by 2 to find \( x \): \[ x = -7 \] So, the solution is \( x = -7 \).
