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

Answer:

10

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

$\frac{-2x}{-2} = \frac{-20}{-2} \\x=10$

Therefore, the value of the number is 10.

I hope this helps!