Question 88504
{{{x/2-2(x-3) > 1}}}


{{{2(x/2-2(x-3)) >2* 1}}} Multiply both sides by 2 to eliminate the denominator


{{{2*x/2-2*2(x-3) >2* 1}}} Distribute


{{{cross(2)*x/cross(2)-2*2(x-3) >2* 1}}}  Reduce


{{{x-2*2(x-3) >2* 1}}} 


{{{x-4(x-3) >2* 1}}} Multiply


{{{x-4x+12 >2* 1}}} Distribute


{{{-3x+12 > 2}}} Combine like terms


{{{-3x> -10}}} Subtract 12 from both sides


{{{x< -10/-3}}} Divide both sides by -3 (remember, dividing by a negative flips the sign)


{{{x<10/3}}}