# Find all whole number solutions of the congruence equation. (2x+1)equiv 5 mod 4

Find all whole number solutions of the congruence equation. $\left(2x+1\right)\equiv 5mod4$
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Eva Cochran
Given, $\left(2x+1\right)\equiv 5mod4$
To find a whole number x<4, such that $\frac{2x+1-5}{4}$ is an integer.
if $x=0,=\frac{-4}{4}=-1$ is an integer.
if $x=1,=\frac{-2}{4}$
if x=2, =0 is an integer.
if $x=3,=\frac{2}{4}$
Hence, the whole number solutions of the given congruence equation are x,(x+4),x+(2*4),...
0,2,4,6,8,..
Result:
0,2,4,6,8,...