Question 341644
{{{x-(x-4/3) = 2/5-(4x+1/10)}}} Start with the given equation.



{{{x-x+4/3 = 2/5-4x-1/10}}} Distribute.



{{{30(x-x+4/cross(3))=30(2/cross(5)-4x-1/cross(10))}}} Multiply both sides by the LCD {{{30}}} to clear any fractions.



{{{30x-30x+40=12-120x-3}}} Distribute and multiply.



{{{0x+40=12-120x-3}}} Combine like terms on the left side.



{{{0x+40=-120x+9}}} Combine like terms on the right side.



{{{0x=-120x+9-40}}} Subtract {{{40}}} from both sides.



{{{0x+120x=9-40}}} Add {{{120x}}} to both sides.



{{{120x=9-40}}} Combine like terms on the left side.



{{{120x=-31}}} Combine like terms on the right side.



{{{x=(-31)/(120)}}} Divide both sides by {{{120}}} to isolate {{{x}}}.



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Answer:


So the solution is {{{x=-31/120}}} 



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