How do i solve x/2+1/3=x/3+1/2

asked Jul 14, 2016 33.6k views

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$(1)/(2)x + (1)/(3) = (1)/(3)x + (1)/(2) \\(1)/(6)x + (1)/(3) = (1)/(2) \\(1)/(6)x = (1)/(6) \\6((1)/(6)x) = 6((1)/(6)) \\x = 1$

Exort answered Jul 17, 2016

by Exort

7.8k points

4 votes

x/2+1/3=x/3+1/2
x/2=x/3+1/2-1/3
x/2 - x/3 = 3/6 - 2/6
x/2 - x/3 = 1/6
3x/6 - 2x/6 = 1/6
x/6 = 1/6
x = 1/6 * 6

x = 1

Jon Ekiz answered Jul 18, 2016

8.3k points

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