Question

select the correct answer.
what is the solution for x in the equation?
$-x + \frac{3}{7} = 2x - \frac{25}{7}$
\\(\bigcirc\\) a. \\( x = \frac{4}{3} \\)
\\(\bigcirc\\) b. \\( x = \frac{3}{4} \\)
\\(\bigcirc\\) c. \\( x = -\frac{3}{4} \\)
\\(\bigcirc\\) d. \\( x = -\frac{4}{3} \\)

Explanation:

Step1: Add \(x\) to both sides

To get all \(x\) terms on one side, we add \(x\) to both sides of the equation \(-x+\frac{3}{7}=2x - \frac{25}{7}\). This gives us \(\frac{3}{7}=3x-\frac{25}{7}\).

Step2: Add \(\frac{25}{7}\) to both sides

Now, we add \(\frac{25}{7}\) to both sides to isolate the term with \(x\). So, \(\frac{3}{7}+\frac{25}{7}=3x\). Combining the fractions on the left, we have \(\frac{3 + 25}{7}=3x\), which simplifies to \(\frac{28}{7}=3x\), and then \(4 = 3x\).

Step3: Solve for \(x\)

Divide both sides by 3 to solve for \(x\). We get \(x=\frac{4}{3}\).

Answer:

A. \(x=\frac{4}{3}\)