Question

How many solutions does the equation have?

Answer 1

$2(2x+5)=4(x+3)\\2\times2x+2\times5=4\times x+4\times3\\4x+10=4x+12\ \ \ \ |subtract\ 4x\ from\ both\ sides\\10=12-FALSE\\\\therefore,\ answer\ is\ \boxed{C.\ No\ solution}$

Answer 2

When you distribute the problem become
4x+10=4x+12
Which is not possible. So your answer is no solution.
Hope that helps!