Question 253966
{{{4/(2x-2)=1/(x+1)}}} Start with the given equation.



{{{4(x+1)=1(2x-2)}}} Cross multiply.



{{{4x+4=2x-2}}} Distribute.



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



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



{{{2x=-2-4}}} Combine like terms on the left side.



{{{2x=-6}}} Combine like terms on the right side.



{{{x=(-6)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}.



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



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Answer:


So the solution is {{{x=-3}}}