Hilda adds 5 to a number, then multiplies the sum by -2. The result is 6. Write an equation to find the number x.
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10 points.

Respuesta :

Answer:

x = -8

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

Step-by-step explanation:

Let's have the unknown number we're trying to find be represented by the variable x. We know that it's added by 5 -- which makes the expression x + 5 -- and then that sum of x + 5 is then multiplied by -2, giving us -2 (x+5). We know that doing those steps gives us the result of 6, so then the equation to find the unknown number would be -2(x+5) = 6.

To find the number x, all we have to do is solve for and isolate x in the equation we just wrote:

[tex]-2(x+5) = 6 \\-2x -10 = 6 \\-2x = 16\\x = -8[/tex]

x = -8. Therefore, the number is -8.