let x be the number:
4 times a number = 4x
Then 3 more than 4x:
=4x+3
Twice the number = 2x
Then 8 less than twice the number:
=2x-9
Write the equation:
4x+3=2x-9
Subratact 2x form both sides:
2x+3= -9
Subtract 3 form both sides:
2x = -12
Divide both side by 2:
x = -6
Next, check your answer:
4x + 3 = 2x - 9
Substitute -6 for x:
4(-6) + 3 = 2(-6) - 9
Mulitiply:
-24 + 3 = -12 - 9
Add:
-21 = -21
And now you know you answer is -6!
Hope this helps! :)