Question

Twice the sum of a number and 4 is the same as four times the number decreased by 12. then

the value of a number is​

Answer 1

10

Step-by-step explanation:

Let the number be equal to
`x`.

We know that twice the sum of this number and 4 is the same as the number decreased by 12. Translate this into an equation:

• Twice ⇒ multiply by 2
• Sum ⇒ add the numbers
• The same as ⇒ equal sign
• Four times ⇒ multiply by 4
• Decreased by ⇒ subtract

⇒
`2(x+4)=4x-12`

Distribute 2 into the parentheses

`2x+8=4x-12`

Subtract both sides by 8

`2x+8-8=4x-12-8\\2x=4x-20`

Subtract both sides by 4x

`2x-4x=4x-20-4x\\-2x=-20`

Divide both sides by -2

`(-2x)/(-2) = (-20)/(-2) \\x=10`

Therefore, the value of the number is 10.

I hope this helps!