Question

Twice the sum of a number and 2 is equal to three times the difference of the number 4

Answer 1

The number is = 16

Explanation:

Given:

Twice the sum of a number and 2 is equal to three times the difference of the number and 4.

To find the number.

Solution:

Let the number be =
`x`

The equation can be now written as:

`2(x+2)=3(x-4)`

Solving for
`x`

Using distribution:

`2x+(2*2)=3x-(3*4)`

`2x+4=3x-12`

Adding 12 both sides.

`2x+4+12=3x-12+12`

`2x+16=3x`

subtracting
`2x` from both sides.

`2x-2x+16=3x-2x`

`16=x`

∴
`x=16`

Thus, the number is = 16