Question 220546

{{{4(3-x)+6=x/2}}} Start with the given equation.



{{{12-4x+6=x/2}}} Distribute.



{{{2(12-4x+6)=cross(2)(x/cross(2))}}} Multiply both sides by the LCD {{{2}}} to clear any fractions.



{{{24-8x+12=x}}} Distribute and multiply.



{{{-8x+36=x}}} Combine like terms on the left side.



{{{-8x=x-36}}} Subtract {{{36}}} from both sides.



{{{-8x-x=-36}}} Subtract {{{x}}} from both sides.



{{{-9x=-36}}} Combine like terms on the left side.



{{{x=(-36)/(-9)}}} Divide both sides by {{{-9}}} to isolate {{{x}}}.



{{{x=4}}} Reduce.



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Answer:


So the solution is {{{x=4}}}