if 7 is added to twice a number and this sum is multiplied by 4 the result is the same as if the number is multiplied by 5 and 10 is added to the product. what is the number?

Respuesta :

Answer:

-6

Step-by-step explanation:

Lets assume a number be "x".

As given, lets put in an expression:

= [tex]4\times (2x+7)[/tex]   ---  (first)

= [tex]5x+10[/tex]----- (second)

As known both the expression are same.

⇒ [tex]4\times (2x+7)[/tex] = [tex]5x+10[/tex]

Opening the parenthesis and distributing the number 4 with 2x and 7.

⇒ [tex]8x+28= 5x+10[/tex]

subtracting both side by 28 and 5x

⇒ [tex]3x= -18[/tex]

cross multiplying

∴ x= [tex]\frac{-18}{3} = -6[/tex]

x= -6

On subtituting the value of x on the expression.

[tex]4\times (2x+7)[/tex] = [tex]5x+10[/tex]

We get, -20=-20, which is equal.