Question

12 plus the product of 2 and some number is equal to the product of 4 and some number minus 8 .

Answer 1

Algebraic expression

`12 +2(x) = 4(x)-8`

Explanation:

Let the unknown number be x

`12 +2(x) = 4(x)-8`

Further solving

`12+2x=4x-8\\\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}\\12+2x-12=4x-8-12\\\\Simplify\\2x=4x-20\\\\\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}\\2x-4x=4x-20-4x\\\\Simplify\\-2x=-20\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\(-2x)/(-2)=(-20)/(-2)\\\\Simpllify\\x =10`

Answer 2

The number is 10

Explanation:

Let x be the number

product is multiply

12 + (2x) = 4x -8

Subtract 2x from each side

12+2x-2x = 4x-2x-8

12 = 2x-8

Add 8 to each side

12+8 = 2x-8+8

20 = 2x

Divide by 2

20/2 = 2x/2

10 =x