<PRE><B>Question 146245</B>

{{{(2/3)x-3=4(x-1)}}} Start with the given equation.



{{{(2/3)x-3=4x-4}}} Distribute.



{{{3((2/cross(3))x-3)=3(4x-4)}}} Multiply both sides by the LCD {{{3}}} to clear any fractions.



{{{2x-9=12x-12}}} Distribute and multiply.



{{{2x=12x-12+9}}} Add {{{9}}} to both sides.



{{{2x-12x=-12+9}}} Subtract {{{12x}}} from both sides.



{{{-10x=-12+9}}} Combine like terms on the left side.



{{{-10x=-3}}} Combine like terms on the right side.



{{{x=(-3)/(-10)}}} Divide both sides by {{{-10}}} to isolate {{{x}}}.



{{{x=3/10}}} Reduce.



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Answer:


So the answer is {{{x=3/10}}} 



Which approximates to {{{x=0.3}}} 


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