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How many solutions does the equation have?
2(2x+5)=4(x+3)

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


Sagot :

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