Respuesta :

The word "is" in this kind of problem typically means "=", so we know that something =-8. Since we're finding the number, we should start with the closest thing in the phrase given to that number. In this case, it's 3/4x. Finally, since we have the "14 less than", we need to add that in. Your answer is:

3/4x-14=-8. Now we can just solve!
       +14   +14

3/4x=6.
*4/3   *4/3

x=8


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Given number is 8

Assume;

Given number is 'n'

Find;

Given number

Computation:

Three fourths of given number;

[tex]Three\ fourths\ of\ given\ number = \frac{3}{4}[n][/tex]

Three fourths of given number minus 14 ;

[tex]Three\ fourths\ of \ given\ number\ minus\ 14 = \frac{3}{4}[n] - 14[/tex]

So,

[tex]\frac{3}{4}n - 14 = -8[/tex]

[tex]3n - 56 = -32 \\\\3n = 56 -32 \\\\3n = 24 \\\\n = \frac{24}{3} \\\\n = 8[/tex]

Given number = 8

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