Given:
A number increased by four and then doubled is the same as 28 decreased by three times the number.
To find:
The unknown number.
Solution:
Let the unknown number be x.
The number increased by four = x+4
And then doubled = 2(x + 4)
Three times the number = 3x
28 decreased by three times the number = 28 - 3x
Now,
[tex]2(x+4)=28-3x[/tex]
[tex]2x+8=28-3x[/tex]
Isolate variable terms.
[tex]2x+3x=28-8[/tex]
[tex]5x=20[/tex]
Divide both sides by 5.
[tex]x=\dfrac{20}{5}[/tex]
[tex]x=4[/tex]
Therefore, the value of unknown number is 4.
