Question
Solve the equation, if possible. (If there is no solution, enter NO SOLUTION. If all real numbers are solutions, enter REALS.) \[ 4(x+6)=4 x-6 \] \( x=\square \)
Ask by Osborne Simmons. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x=\text{NO SOLUTION} \)
Solution
1. Start with the equation:
\[
4(x+6)=4x-6
\]
2. Distribute \(4\) on the left side:
\[
4x + 24 = 4x -6
\]
3. Subtract \(4x\) from both sides:
\[
4x + 24 - 4x = 4x - 6 - 4x
\]
Simplifying, we get:
\[
24 = -6
\]
4. Since \(24 = -6\) is a contradiction and not true, there is no solution.
\( x=\text{NO SOLUTION} \)
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Beyond the Answer
To solve the equation \( 4(x+6)=4x-6 \), let's first distribute on the left side: \[ 4x + 24 = 4x - 6 \] Now, subtract \( 4x \) from both sides: \[ 24 = -6 \] This is a contradiction because \( 24 \) does not equal \( -6 \). Thus, there is no solution to the equation. Final answer: NO SOLUTION.
