Answer:
2
Step-by-step explanation:
The way to solve this is by making the denominators similar to each other. The best number to change it to is 10 since 2 and 5 can be multipled into 10. Multiplying [tex]\frac{3}{2}[/tex] by 5 will make it into [tex]\frac{15}{10}[/tex], and multiplying [tex]\frac{6}{5}[/tex] by 2 will make [tex]\frac{12}{10}[/tex]. The equation at this point looks like this:
[tex]\frac{7}{10}-x+\frac{15}{10} =\frac{12}{10}[/tex]
Now you have to solve for the blank, which I replaced with the variable [tex]x[/tex]. Simplifying the equation down will get you to [tex]\frac{20}{10}[/tex], which in turn simplifies down into 2.
Hope this helps!
