SOLUTION: Find x, (x-6)/2022 + (x-5)/2023 + (x-4)/2024 = 3

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Question 1206776: Find x,
(x-6)/2022 + (x-5)/2023 + (x-4)/2024 = 3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Find x,

%28x-6%29%2F2022+%2B+%28x-5%29%2F2023+%2B+%28x-4%29%2F2024+=+3





12277586+x+-+61391976=8279184144+%2A+3

12277586+x+=24837552432%2B61391976

12277586+x+=24898944408

x+=24898944408%2F12277586

x+=2028

or, you can find it this way:
%28x-6%29%2F2022+%2B+%28x-5%29%2F2023+%2B+%28x-4%29%2F2024+=+3
if the sum of three terms equal 3, then each term must be equal 1 because 1%2B1%2B1=3
so,
%28x-6%29%2F2022+=+1=>%28x-6%29+=+2022=>x+=+2022%2B6=>x+=+2028
%28x-5%29%2F2023+=+1=>%28x-5%29+=+2023=>x+=+2023%2B5=>x+=+2028
%28x-4%29%2F2024+=+1=>%28x-4%29+=+2024=>x+=+2024%2B4=>x+=+2028