Question 708172
{{{4x+10=2(2x+5)}}} Start with the given equation.



{{{4x+10=4x+10}}} Distribute.



{{{4x=4x+10-10}}} Subtract {{{10}}} from both sides.



{{{4x-4x=10-10}}} Subtract {{{4x}}} from both sides.



{{{0x=10-10}}} Combine like terms on the left side.



{{{0x=0}}} Combine like terms on the right side.



{{{0=0}}} Simplify.



Since this equation is <font size=4><b>ALWAYS</b></font> true for any x value, this means x can equal any number. 



So there are an infinite number of solutions.