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Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6. Write an equation to find the number, x.
What is the number? Enter your answer in the box.

Respuesta :

danielmaduroh

1. Write an equation to find the number, x

We know from mathematics that an equation is a statement of an equality containing one or more variables. So in this exercise we want to write an equation that allows us to find the number x. For this purpose, we have the following statements:

  • Hilda adds 5 to a number:

[tex]x+5[/tex]


  • Then multiplies the sum by negative:

[tex]-2(x+5)[/tex]


  • The result is 6:

[tex]-2(x+5)=6[/tex]


Finally, the equation is:

[tex]-2x-10=6 \\ \\ \therefore \boxed{2x+16=0}[/tex]


2. What is the number?

We can know the value of the number by solving the equation in the box. So we have that our equation is:

[tex]2x+16=0[/tex]


Isolating x:

[tex]2x=-16 \\ \\ \therefore \boxed{x=-8}[/tex]


Finally, -8 is the number x.

adioabiola

We are required to write an equation to find the number, x

The equation (x + 5)-2 = 6 represent the expression and x = -8

let

the unknown number = x

  • Hilda adds 5 to a number;

x + 5

  • multiplies the sum by negative 2

(x + 5)-2

  • The result is 6

(x + 5)-2 = 6

The equation:

(x + 5)-2 = 6

open parenthesis

- 2x - 10 = 6

collect like terms

-2x = 6 + 10

- 2x = 16

divide both sides b -2

x = 16 / -2

x = -8

Therefore, the equation (x + 5)-2 = 6 represent the expression and x = -8

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