To solve for [tex]\( x \)[/tex] in the equation [tex]\(\frac{2}{10} + x = \frac{9}{10}\)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
\frac{2}{10} + x = \frac{9}{10}
\][/tex]
2. To isolate [tex]\( x \)[/tex], subtract [tex]\(\frac{2}{10}\)[/tex] from both sides of the equation:
[tex]\[
x = \frac{9}{10} - \frac{2}{10}
\][/tex]
3. Perform the subtraction:
[tex]\[
x = \frac{9 - 2}{10} = \frac{7}{10}
\][/tex]
Therefore, the numerator of [tex]\( x \)[/tex] in its simplified form is [tex]\( 7 \)[/tex]. So, the numerator is:
[tex]\( 7 \)[/tex]