Question
Solve. \( 4.5 x+3=3.1 x+5.8 \) Blank 1
Ask by Long Jimenez. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = 2 \)
Solution
Sure, let's solve the equation step by step:
\[
4.5x + 3 = 3.1x + 5.8
\]
**Step 1: Subtract \(3.1x\) from both sides to get all the \(x\) terms on one side.**
\[
4.5x - 3.1x + 3 = 5.8
\]
\[
1.4x + 3 = 5.8
\]
**Step 2: Subtract 3 from both sides to isolate the term with \(x\).**
\[
1.4x = 5.8 - 3
\]
\[
1.4x = 2.8
\]
**Step 3: Divide both sides by 1.4 to solve for \(x\).**
\[
x = \frac{2.8}{1.4}
\]
\[
x = 2
\]
**Answer:** \( x = 2 \)
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Beyond the Answer
To solve the equation \( 4.5x + 3 = 3.1x + 5.8 \), start by isolating \( x \). Subtract \( 3.1x \) from both sides: \( 4.5x - 3.1x + 3 = 5.8 \) This simplifies to: \( 1.4x + 3 = 5.8 \) Next, subtract 3 from both sides: \( 1.4x = 5.8 - 3 \) Which gives: \( 1.4x = 2.8 \) Finally, divide both sides by \( 1.4 \): \( x = \frac{2.8}{1.4} = 2 \) So, the value of \( x \) is \( 2 \). And there you have it! Easy-peasy!