Question
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Tutor-Verified Answer
Answer
\( x=4 \)
Solution
Solve the equation \( 2x-5=3 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(2x-5=3\)
- step1: Move the constant to the right side:
\(2x=3+5\)
- step2: Add the numbers:
\(2x=8\)
- step3: Divide both sides:
\(\frac{2x}{2}=\frac{8}{2}\)
- step4: Divide the numbers:
\(x=4\)
The solution to the equation \(2x-5=3\) is \(x=4\).
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Beyond the Answer
First, let's solve this equation and see where it takes us! To isolate \( x \), we can add 5 to both sides, giving us \( 2x = 8 \). Now, by dividing both sides by 2, we find \( x = 4 \). Simple and satisfying, right? Now, if you run into similar equations, a common mistake is forgetting to perform the same operation on both sides. Always balance your equation like a tightrope walker for the best results!