Question 337814
{{{(x+3)/4= 2-(x+4)/3}}} Start with the given equation.



{{{3(x+3)= 24-4(x+4)}}} Multiply every term by the LCD 12 to clear out the fractions.



{{{3x+9=24-4x-16}}} Distribute.



{{{3x+9=-4x+8}}} Combine like terms on the right side.



{{{3x=-4x+8-9}}} Subtract {{{9}}} from both sides.



{{{3x+4x=8-9}}} Add {{{4x}}} to both sides.



{{{7x=8-9}}} Combine like terms on the left side.



{{{7x=-1}}} Combine like terms on the right side.



{{{x=(-1)/(7)}}} Divide both sides by {{{7}}} to isolate {{{x}}}.



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Answer:


So the solution is {{{x=-1/7}}} which approximates to {{{x=-0.143}}}. 



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