Question 789090
{{{4(3x+2)=12x+8}}} Start with the given equation.



{{{12x+8=12x+8}}} Distribute.



{{{12x=12x+8-8}}} Subtract {{{8}}} from both sides.



{{{12x-12x=8-8}}} Subtract {{{12x}}} from both sides.



{{{0x=8-8}}} 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.