Question 682503
{{{5-1(8x-7)=2x+12-10x}}} Start with the given equation.



{{{5-8x+7=2x+12-10x}}} Distribute.



{{{-8x+12=2x+12-10x}}} Combine like terms on the left side.



{{{-8x+12=-8x+12}}} Combine like terms on the right side.



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



{{{-8x+8x=12-12}}} Add {{{8x}}} to both sides.



{{{0x=12-12}}} 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.