Question 151677
{{{(x-5)/3-3/3=(4x+7)/6}}} Start with the given equation.



{{{6((x-5)/cross(3)-3/cross(3))=6((4x + 7)/cross(6))}}} Multiply both sides by the LCD {{{6}}} to clear any fractions.



{{{2x-10-6=4x+7}}} Distribute.



{{{2x-19=4x+7}}} Combine like terms on the left side.



{{{2x-16=4x+7}}} Combine like terms on the left side.



{{{2x=4x+7+16}}} Add {{{16}}} to both sides.



{{{2x-4x=7+16}}} Subtract {{{4x}}} from both sides.



{{{-2x=7+16}}} Combine like terms on the left side.



{{{-2x=23}}} Combine like terms on the right side.



{{{x=(23)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{x}}}.



{{{x=-23/2}}} Reduce.



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Answer:


So the answer is {{{x=-23/2}}} 



Which approximates to {{{x=-11.5}}}