SOLUTION: the product of a negative integer and 5 less than twice the integer equals the integer plus 56. find the integer.

SOLUTION: the product of a negative integer and 5 less than twice the integer equals the integer plus 56. find the integer.

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Question 981317: the product of a negative integer and 5 less than twice the integer equals the integer plus 56. find the integer.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
x=negative integer
.

Subtract (x+56) from each side.
Divide each side by 2.

Since we are looking for a negative integer,
ANSWER: The negative integer is -4.
.
CHECK:
(x)(2x-5)=x+56
(-4)(2(-4)-5)=-4+56
(-4)(-8-5)=52
(-4)(-13)=52
52=52

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