contestada

"Negative one times the sum of one and seven times a number,
decreased by 6 times the difference of negative seven and a
number, equals thirty-six."

Respuesta :

Lanuel

Answer:

x = 5

Step-by-step explanation:

Let the number be x

Translating the word expression into an algebraic equation;

[tex] -1 * (1+7x) - 6[(-7-x)] = 36[/tex]

Simplifying the equation, we have;

[tex] -1 - 7x + 42 + 6x = 36[/tex]

[tex] 41 - x = 36[/tex]

Rearranging the equation, we have;

[tex] x = 41 - 36[/tex]

x = 5

Therefore, the number is 5.

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