Question 170834
The statement "what number must you add to 128 and subtract from 256 so that the answers to both examples are equal" translates to {{{x+128=256-x}}}



{{{x+128=256-x}}} Start with the given equation.



{{{x=256-x-128}}} Subtract {{{128}}} from both sides.



{{{x+x=256-128}}} Add {{{x}}} to both sides.



{{{2x=256-128}}} Combine like terms on the left side.



{{{2x=128}}} Combine like terms on the right side.



{{{x=(128)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}.



{{{x=64}}} Reduce.



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Answer:


So the answer is {{{x=64}}} which means that the number is 64.