Answer:
The number is = 16
Step-by-step 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 = [tex]x[/tex]
The equation can be now written as:
[tex]2(x+2)=3(x-4)[/tex]
Solving for [tex]x[/tex]
Using distribution:
[tex]2x+(2\times2)=3x-(3\times4)[/tex]
[tex]2x+4=3x-12[/tex]
Adding 12 both sides.
[tex]2x+4+12=3x-12+12[/tex]
[tex]2x+16=3x[/tex]
subtracting [tex]2x[/tex] from both sides.
[tex]2x-2x+16=3x-2x[/tex]
[tex]16=x[/tex]
∴ [tex]x=16[/tex]
Thus, the number is = 16
