exam Maths Puzzle Numerical Ability

Prove the conjecture below by writing a variable statement and using algebra

Conjecture: The sum of five consecutive integers is always divisible by five.

x + (x + 1) + (x +

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2(5x-4)=5(2x+3)
WRITE A NUMERICAL EQUATION THAT REPRESENTS EACH STATEMENT

WHEN A NUMBER IS A IS DOUBLED, THE RESULT IS TWELVE