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

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 isโ€‹
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skittlesarebae6035
skittlesarebae6035
4,7(21 marks)

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 โ‡’ multiply by 2Sum โ‡’ add the numbersThe same as โ‡’ equal signFour times โ‡’ multiply by 4Decreased by โ‡’ subtract

โ‡’ 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!

selamh1999
selamh1999
4,9(36 marks)
He was the mascot of my school.

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