Question 600896
{{{7(x+3)=7x+21}}} Start with the given equation.



{{{7x+21=7x+21}}} Distribute.



{{{7x=7x+21-21}}} Subtract {{{21}}} from both sides.



{{{7x-7x=21-21}}} Subtract {{{7x}}} from both sides.



{{{0x=21-21}}} 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.