Question 527123


{{{46-(2x+1)<3(x+5)+x}}} Start with the given inequality.



{{{46-2x-1<3x+15+x}}} Distribute.



{{{-2x+45<3x+15+x}}} Combine like terms on the left side.



{{{-2x+45<4x+15}}} Combine like terms on the right side.



{{{-2x<4x+15-45}}} Subtract {{{45}}} from both sides.



{{{-2x-4x<15-45}}} Subtract {{{4x}}} from both sides.



{{{-6x<15-45}}} Combine like terms on the left side.



{{{-6x<-30}}} Combine like terms on the right side.



{{{x>(-30)/(-6)}}} Divide both sides by {{{-6}}} to isolate {{{x}}}. note: Remember, the inequality sign flips when we divide both sides by a negative number. 



{{{x>5}}} Reduce.



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Answer:


So the solution is {{{x>5}}} 



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