Question 550661
{{{4(x+3)-3(3x+9)=11x-16x-15}}} Start with the given equation.



{{{4x+12-9x-27=11x-16x-15}}} Distribute.



{{{-5x-15=11x-16x-15}}} Combine like terms on the left side.



{{{-5x-15=-5x-15}}} Combine like terms on the right side.



{{{-5x=-5x-15+15}}} Add {{{15}}} to both sides.



{{{-5x+5x=-15+15}}} Add {{{5x}}} to both sides.



{{{0x=-15+15}}} 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.