Question

How many solutions does the equation have?

2(2x+5)=4(x+3)

A. One solution
B. Infinite solutions
C. No solution

Answer 1

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

Answer 2

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