Answer:
10
Explanation:
Let the number be equal to [tex]x[/tex].
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
⇒ [tex]2(x+4)=4x-12[/tex]
Distribute 2 into the parentheses
[tex]2x+8=4x-12[/tex]
Subtract both sides by 8
[tex]2x+8-8=4x-12-8\\2x=4x-20[/tex]
Subtract both sides by 4x
[tex]2x-4x=4x-20-4x\\-2x=-20[/tex]
Divide both sides by -2
[tex]\frac{-2x}{-2} = \frac{-20}{-2} \\x=10[/tex]
Therefore, the value of the number is 10.
I hope this helps!
