Question 198886


{{{5-2(3-x)>=5x-3(x-1)}}} Start with the given inequality.



{{{5-6+2x>=5x-3x+3}}} Distribute.



{{{2x-1>=5x-3x+3}}} Combine like terms on the left side.



{{{2x-1>=2x+3}}} Combine like terms on the right side.



{{{2x>=2x+3+1}}} Add {{{1}}} to both sides.



{{{2x-2x>=3+1}}} Subtract {{{2x}}} from both sides.



{{{0x>=3+1}}} Combine like terms on the left side.



{{{0x>=4}}} Combine like terms on the right side.



{{{0>=4}}} Simplify



Since the inequality {{{0>=4}}} is NOT true, this means that there are NO solutions. 



In other words, no matter what number you plug into {{{5-2(3-x)>=5x-3(x-1)}}}, it won't be true.