Question
Solve the equation and check the solution. \( 6.3 x-2=5.3 x \) \( x=\square \) (Type an integer number.)
Ask by Bright Stewart. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = 2 \)
Solution
Solve the equation \( 6.3x-2=5.3x \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(6.3x-2=5.3x\)
- step1: Move the variable to the left side:
\(6.3x-2-5.3x=0\)
- step2: Subtract the terms:
\(x-2=0\)
- step3: Move the constant to the right side:
\(x=0+2\)
- step4: Remove 0:
\(x=2\)
The solution to the equation \(6.3x - 2 = 5.3x\) is \(x = 2\).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
Let's solve the equation step by step! First, we start with: \( 6.3x - 2 = 5.3x \) Now, let's isolate \( x \) by getting all terms involving \( x \) on one side: \( 6.3x - 5.3x = 2 \) This simplifies to: \( 1.0x = 2 \) Now divide both sides by 1: \( x = 2 \) Now, let's check the solution by substituting \( x = 2 \) back into the original equation: \( 6.3(2) - 2 = 5.3(2) \) This becomes: \( 12.6 - 2 = 10.6 \) Which simplifies to: \( 10.6 = 10.6 \) Since both sides are equal, our solution is correct! So, \( x = 2 \)
