Question 146586
{{{1/4=3-(2x-1)/(x+2)}}} Start with the given equation



{{{cross(4)(x+2)(1/cross(4))=4(x+2)3-4cross((x+2))((2x-1)/cross((x+2)))}}} Multiply <b>every</b> term by the LCD {{{4(x+2)}}}



{{{x+2=4(x+2)3-4(2x-1)}}} Simplify



{{{x+2=12(x+2)-4(2x-1)}}} Multiply and rearrange the terms



{{{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 answer is {{{x=-26/3}}} 



Which approximates to {{{x=-8.667}}}