Question 321300
{{{1/4 =3-(2x-1)/(x+2)}}} Start with the given equation.



{{{x+2 =3*4(x+2)-4(2x-1)}}} Multiply EVERY term by the LCD {{{4(x+2)}}}



{{{x+2 =12(x+2)-4(2x-1)}}} Multiply.



{{{x+2=12x+24-8x+4}}} Distribute.



{{{x+2=4x+28}}} Combine like terms on the right side.



{{{x=4x+28-2}}} Subtract {{{2}}} from both sides.



{{{x-4x=28-2}}} Subtract {{{4x}}} from both sides.



{{{-3x=28-2}}} Combine like terms on the left side.



{{{-3x=26}}} Combine like terms on the right side.



{{{x=(26)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{x}}}.



{{{x=-26/3}}} Reduce.



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Answer:


So the solution is {{{x=-26/3}}} which approximates to {{{x=-8.667}}}.