Math Question
![Kate begins solving the equation \( \frac{2}{3}(6 x-3)=\frac{1}{2}(6 x-4) \). When she adds 2 to both sides, the equation \( 4 x=3 x \) Her work is correct and is shown below. results. Which solution will best illustrate what happens to \( \times \) ?
\[
\frac{2}{3}(6 x-3)=\frac{1}{2}(6 x-4)
\]
The equation has infinite solutions.
\( 4 x-2=3 x-2 \)
The equation has one solution: \( x=0 \).
The equation has one solution: \( x=\frac{4}{3} \).
The equation has no solution.](https://d3hlidq5bf9vg0.cloudfront.net/app-server-student/2022/3/31/26d3a19d-9b6b-4c8e-b1a3-24677ee5959c.png "Kate begins solving the equation \( \frac{2}{3}(6 x-3)=\frac{1}{2}(6 x-4) \). When she adds 2 to both sides, the equation \( 4 x=3 x \) Her work is correct and is shown below. results. Which solution will best illustrate what happens to \( \times \) ?
\[
\frac{2}{3}(6 x-3)=\frac{1}{2}(6 x-4)
\]
The equation has infinite solutions.
\( 4 x-2=3 x-2 \)
The equation has one solution: \( x=0 \).
The equation has one solution: \( x=\frac{4}{3} \).
The equation has no solution.")
Solution
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