How the h-ell did that happen

when x is divided by 8, the remainder is 3. what is the remainder when 4x is divided by 8?
answer = 4

ok so i forgot how i solved this, all i remembered was
"when x is divided by 8, the remainder is 3" ->> 8n+3

help pls?

So, x=8n+3 so
4x=32n+12,
=32n+8+4.
=8(4n+1)+4,
therefor remainder=4.

Sorry, made a
mistake.

Don't be so quick to close it down if you want more explanation.

x = 8n + 3,

so 4x = 4(8n + 3) = 32n + 12

4x / 8 = (32n + 12) / 4 = (32n / 4) + (12 / 4) = 8n + 3

Remainder = 3

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the answer should have been 1, NOT 4

Explanation:
1. for x to have a remainder of 3 when divided by 8, it should be an ODD number.
2. 4x divided by 8 can also be expressed as x/2
3. therefore, when an odd number (x) is divided by 2, the remainder should ALWAYS be 1.