Question 555206
{{{5/2-3x=6/7-4x}}} Start with the given equation.



{{{14(5/cross(2)-3x)=14(6/cross(7)-4x)}}} Multiply both sides by the LCD {{{14}}} to clear any fractions.



{{{35-42x=12-56x}}} Distribute and multiply.



{{{-42x=12-56x-35}}} Subtract {{{35}}} from both sides.



{{{-42x+56x=12-35}}} Add {{{56x}}} to both sides.



{{{14x=12-35}}} Combine like terms on the left side.



{{{14x=-23}}} Combine like terms on the right side.



{{{x=(-23)/(14)}}} Divide both sides by {{{14}}} to isolate {{{x}}}.



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Answer:


So the solution is {{{x=-23/14}}} 



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