If twice a number is subtracted from 20, the result is the same as multiplying the sum of 5 and that number by 3. Find the number

Respuesta :

Answer:

The number is 5

Step-by-step explanation:

Let the number be X

20 - 2X = 3(5 + X)

20 - 2X = 15 + 3X

-2X - 3X = 15 - 20

- 5X = -5

X = 5

Answer:

Therefore, the number we’re looking for is (x = 1).

Step-by-step explanation:

Twice a number is subtracted from 20:

This can be expressed as (20 - 2x).

Multiplying the sum of 5 and that number by 3:

The sum of 5 and the number is (5 + x).

Multiply this sum by 3: (3(5 + x)).

Now we can set up the equation:

[20 - 2x = 3(5 + x)]

Let’s solve for (x):

Distribute the 3 on the right side: [20 - 2x = 15 + 3x]

Move all terms containing (x) to one side: [20 - 15 = 3x + 2x] [5 = 5x]

Divide both sides by 5: [x = 1]

Therefore, the number we’re looking for is (x = 1).