Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x = -30.75 \)
Solution
Solve the equation \( 0.92x-0.46=x+2 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(0.92x-0.46=x+2\)
- step1: Move the expression to the left side:
\(0.92x-x=2+0.46\)
- step2: Add and subtract:
\(-0.08x=2+0.46\)
- step3: Add and subtract:
\(-0.08x=2.46\)
- step4: Change the signs:
\(0.08x=-2.46\)
- step5: Divide both sides:
\(\frac{0.08x}{0.08}=\frac{-2.46}{0.08}\)
- step6: Divide the numbers:
\(x=-\frac{123}{4}\)
The solution to the equation \(0.92x - 0.46 = x + 2\) is \(x = -30.75\).
Therefore, the value of \(x\) is \(-30.75\).
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
To solve the equation \( 0.92x - 0.46 = x + 2 \), we start by bringing all the terms involving \( x \) to one side and the constant terms to the other side. Rearranging gives us: \( 0.92x - x = 2 + 0.46 \) This simplifies to: \( -0.08x = 2.46 \) Now, dividing both sides by \(-0.08\), we find: \( x = \frac{2.46}{-0.08} = -30.75 \) So, the value of \( x \) is approximately \(-30.75\), not \(1.28\). Let's double-check our calculations for clarity and ensure everything adds up correctly! Errors can happen when moving terms around; being meticulous helps prevent mistakes. Always verify your answer by plugging \( x \) back into the original equation to see if both sides match!
