Question
Solve for \( x \) using the addition principle. Don't forget to perform a check. \( x+10=-12 \)
Ask by George Ford. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x = -22 \)
Solution
Step 1: Write the equation:
x + 10 = -12
Step 2: Use the addition principle by subtracting 10 from both sides to isolate x:
x + 10 − 10 = -12 − 10
x = -22
Step 3: Check the solution by substituting -22 back into the original equation:
(-22) + 10 = -12
-12 = -12
Since both sides of the equation are equal, the solution is correct.
Answer: x = -22
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
To solve the equation \( x + 10 = -12 \) using the addition principle, you want to isolate \( x \) by subtracting 10 from both sides of the equation. So, \[ x + 10 - 10 = -12 - 10 \] This simplifies to: \[ x = -22 \] Now, let's check our solution by plugging \( x = -22 \) back into the original equation: \[ -22 + 10 = -12 \] Which simplifies to: \[ -12 = -12 \] Since both sides are equal, our solution \( x = -22 \) is correct!
