​$$\text{If } \frac{4}{5} + \left(-\frac{3}{10}\right) = x + 1\frac{1}{2}, \text{ then what will be the value of } x?$$​​

Correct option is B

Given:

​$$\frac{4}{5} + \left(-\frac{3}{10}\right) = x + 1\frac{1}{2}$$ 

Solution:

The  equation  is $$\frac{4}{5} + \left(-\frac{3}{10}\right) = x + 1\frac{1}{2}$$ 

Simplify the left-hand side of the equation:

​$$\frac{4}{5} + \left(-\frac{3}{10}\right)$$ 

​The least common denominator (LCD) of 5 and 10 is 10. 

​$$\frac{4}{5} + \left(-\frac{3}{10}\right)$$ = $$\frac{8-3}{10}$$ = $$\frac{5}{10}$$ = $$\frac{1}{2}$$ 

​So, the left-hand side becomes: $$\frac{1}{2}$$ 

Simplify the right-hand side of the equation:

​$$x + 1\frac{1}{2}$$  = $$x + \frac{3}{2}$$ 

​So, the equation becomes: 

​$$\frac{1}{2} = x + \frac{3}{2}$$ 

​$$\frac{1}{2}- \frac{3}{2} = x$$ 

x = $$\frac{1-3}{2}$$ = $$\frac{-2}{2}$$ = -1

The value of x is −1 

Thus, correct answer is (b ) -1