hundegetnet
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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​

Sagot :

theleangreenbean

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!

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