Question 642507
{{{(1/2)x-7=11-(1/2)x}}} Start with the given equation.



{{{2((1/cross(2))x-7)=2(11-(1/cross(2))x)}}} Multiply both sides by the LCD {{{2}}} to clear any fractions.



{{{x-14=22-1x}}} Distribute and multiply.



{{{x=22-x+14}}} Add {{{14}}} to both sides.



{{{x+x=22+14}}} Add {{{x}}} to both sides.



{{{2x=22+14}}} Combine like terms on the left side.



{{{2x=36}}} Combine like terms on the right side.



{{{x=(36)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}.



{{{x=18}}} Reduce.



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Answer:


So the solution is {{{x=18}}}