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?

-6

Step-by-step explanation:

Lets assume a number be "x".

As given, lets put in an expression:

=   ---  (first)

= ----- (second)

As known both the expression are same.

⇒ =

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

⇒

subtracting both side by 28 and 5x

⇒

cross multiplying

∴ x=

x= -6

On subtituting the value of x on the expression.

=

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

2

step-by-step explanation:

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116