Certainly! Let's solve the equation step-by-step:
We start with the given equation:
[tex]\[ x + \frac{4}{7} = \frac{6}{7} \][/tex]
Our goal is to isolate the variable [tex]\( x \)[/tex]. To do so, we'll subtract [tex]\(\frac{4}{7}\)[/tex] from both sides of the equation. Here's how that looks:
Subtract [tex]\(\frac{4}{7}\)[/tex] from both sides:
[tex]\[ x + \frac{4}{7} - \frac{4}{7} = \frac{6}{7} - \frac{4}{7} \][/tex]
On the left side, the [tex]\(\frac{4}{7}\)[/tex] cancels out, leaving us with:
[tex]\[ x = \frac{6}{7} - \frac{4}{7} \][/tex]
Now, we perform the subtraction on the right side:
[tex]\[ x = \frac{6 - 4}{7} \][/tex]
Simplify the numerator:
[tex]\[ x = \frac{2}{7} \][/tex]
So, the solution is:
[tex]\[ x = \frac{2}{7} \][/tex]
Therefore, the final answer is:
[tex]\[ x = \frac{2}{7} \][/tex]
