Question 216707


{{{5(-3x-2)-1(x-3)=-4(4x+5)+13}}} Start with the given equation.



{{{-15x-10-1x+3=-16x-20+13}}} Distribute.



{{{-16x-7=-16x-20+13}}} Combine like terms on the left side.



{{{-16x-7=-16x-7}}} Combine like terms on the right side.



{{{-16x=-16x-7+7}}} Add {{{7}}} to both sides.



{{{-16x+16x=-7+7}}} Add {{{16x}}} to both sides.



{{{0x=-7+7}}} 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.