Question 179431
{{{(x-2)/4= (x+4)/2}}} Start with the given equation.



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



{{{2x-4=4x+16}}} Distribute.



{{{2x=4x+16+4}}} Add {{{4}}} to both sides.



{{{2x-4x=16+4}}} Subtract {{{4x}}} from both sides.



{{{-2x=16+4}}} Combine like terms on the left side.



{{{-2x=20}}} Combine like terms on the right side.



{{{x=(20)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{x}}}.



{{{x=-10}}} Reduce.



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Answer:


So the answer is {{{x=-10}}}